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23463555536432 = 24113141923911353
BaseRepresentation
bin1010101010111000010001…
…11001001001011000110000
310002002002112112020220220102
411111130020321021120300
511033411330204131212
6121523001505331532
74641120531231104
oct525341071113060
9102062475226812
1023463555536432
117526924452330
12276b489336ba8
1310127b06c1b5b
145b18dc0a3904
152aa51a9535c2
hex155708e49630

23463555536432 has 160 divisors (see below), whose sum is σ = 52452122849280. Its totient is φ = 10067498496000.

The previous prime is 23463555536429. The next prime is 23463555536441.

23463555536432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234635555364322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066721668 + ... + 2066733020.

It is an arithmetic number, because the mean of its divisors is an integer number (327825767808).

Almost surely, 223463555536432 is an apocalyptic number.

23463555536432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23463555536432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26226061424640).

23463555536432 is an abundant number, since it is smaller than the sum of its proper divisors (28988567312848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23463555536432 is a wasteful number, since it uses less digits than its factorization.

23463555536432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20683 (or 20677 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 56.

The spelling of 23463555536432 in words is "twenty-three trillion, four hundred sixty-three billion, five hundred fifty-five million, five hundred thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 41 44 62 82 88 124 164 176 248 328 341 451 496 656 682 902 1271 1364 1804 2542 2728 3608 5084 5456 7216 9239 10168 11353 13981 18478 20336 22706 27962 36956 45412 55924 73912 90824 101629 111848 124883 147824 181648 203258 223696 249766 286409 351943 378799 406516 465473 499532 572818 703886 757598 813032 930946 999064 1145636 1407772 1515196 1626064 1861892 1998128 2291272 2815544 3030392 3150499 3723784 3871373 4166789 4582544 5120203 5631088 6060784 6300998 7447568 7742746 8333578 10240406 11742769 12601996 14429663 15485492 16667156 20480812 23485538 25203992 28859326 30970984 33334312 40961624 46971076 50407984 57718652 61941968 66668624 81923248 93942152 104890367 115437304 129170459 158726293 187884304 209780734 230874608 258340918 317452586 419561468 516681836 634905172 839122936 1033363672 1153794037 1269810344 1678245872 2066727344 2307588074 2539620688 3251601377 4300505047 4615176148 6503202754 8601010094 9230352296 13006405508 17202020188 18460704592 26012811016 34404040376 35767615147 47305555517 52025622032 68808080752 71535230294 94611111034 133315656457 143070460588 189222222068 266631312914 286140921176 378444444136 533262625828 572281842352 756888888272 1066525251656 1466472221027 2133050503312 2932944442054 5865888884108 11731777768216 23463555536432