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23445201342552 = 23311893592779493
BaseRepresentation
bin1010101010010110000101…
…11001011101000001011000
310002000100011101121021012220
411111023002321131001120
511033111233020430202
6121510324331304040
74636600642163553
oct525130271350130
9102010141537186
1023445201342552
11751a065a40860
122767a065ab020
131010b46c9a4c2
145b0a7a5d769a
152a9ce4433abc
hex1552c2e5d058

23445201342552 has 128 divisors (see below), whose sum is σ = 64840036032000. Its totient is φ = 7005209277440.

The previous prime is 23445201342523. The next prime is 23445201342557. The reversal of 23445201342552 is 25524310254432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23445201342557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7045318 + ... + 9824810.

It is an arithmetic number, because the mean of its divisors is an integer number (506562781500).

Almost surely, 223445201342552 is an apocalyptic number.

23445201342552 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 23445201342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32420018016000).

23445201342552 is an abundant number, since it is smaller than the sum of its proper divisors (41394834689448).

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

23445201342552 is a wasteful number, since it uses less digits than its factorization.

23445201342552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779961 (or 2779957 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 23445201342552 its reverse (25524310254432), we get a palindrome (48969511596984).

It can be divided in two parts, 23445201 and 342552, that added together give a triangular number (23787753 = T6897).

The spelling of 23445201342552 in words is "twenty-three trillion, four hundred forty-five billion, two hundred one million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 359 534 712 718 979 1068 1077 1436 1958 2136 2154 2872 2937 3916 3949 4308 5874 7832 7898 8616 11748 11847 15796 23496 23694 31592 31951 47388 63902 94776 95853 127804 191706 255608 351461 383412 702922 766824 1054383 1405844 2108766 2779493 2811688 4217532 5558986 8338479 8435064 11117972 16676958 22235944 30574423 33353916 61148846 66707832 91723269 122297692 183446538 244595384 247374877 366893076 494749754 733786152 742124631 989499508 997837987 1484249262 1978999016 1995675974 2721123647 2968498524 2993513961 3991351948 5442247294 5936997048 5987027922 7982703896 8163370941 10884494588 10976217857 11974055844 16326741882 21768989176 21952435714 23948111688 32653483764 32928653571 43904871428 65306967528 65857307142 87809742856 88807580843 131714614284 177615161686 263429228568 266422742529 355230323372 532845485058 710460646744 976883389273 1065690970116 1953766778546 2131381940232 2930650167819 3907533557092 5861300335638 7815067114184 11722600671276 23445201342552