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23305491072 = 273413117159
BaseRepresentation
bin10101101101000111…
…011001001010000000
32020011012101121120000
4111231013121022000
5340212201203242
614412325320000
71453350256053
oct255507311200
966135347500
1023305491072
11997a384426
124624b66000
132275460406
1411b12d0a9a
15916055a4c
hex56d1d9280

23305491072 has 160 divisors (see below), whose sum is σ = 69890277600. Its totient is φ = 7708746240.

The previous prime is 23305491071. The next prime is 23305491107. The reversal of 23305491072 is 27019450332.

23305491072 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 549 + 107 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23305491071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1349629 + ... + 1366787.

It is an arithmetic number, because the mean of its divisors is an integer number (436814235).

Almost surely, 223305491072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23305491072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34945138800).

23305491072 is an abundant number, since it is smaller than the sum of its proper divisors (46584786528).

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

23305491072 is a wasteful number, since it uses less digits than its factorization.

23305491072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17316 (or 17295 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 23305491072 in words is "twenty-three billion, three hundred five million, four hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 262 288 324 384 393 432 524 576 648 786 864 1048 1152 1179 1296 1572 1728 2096 2358 2592 3144 3456 3537 4192 4716 5184 6288 7074 8384 9432 10368 10611 12576 14148 16768 17159 18864 21222 25152 28296 34318 37728 42444 50304 51477 56592 68636 75456 84888 102954 113184 137272 150912 154431 169776 205908 226368 274544 308862 339552 411816 452736 463293 549088 617724 679104 823632 926586 1098176 1235448 1358208 1389879 1647264 1853172 2196352 2247829 2470896 2779758 3294528 3706344 4495658 4941792 5559516 6589056 6743487 7412688 8991316 9883584 11119032 13486974 14825376 17982632 19767168 20230461 22238064 26973948 29650752 35965264 40460922 44476128 53947896 59301504 60691383 71930528 80921844 88952256 107895792 121382766 143861056 161843688 177904512 182074149 215791584 242765532 287722112 323687376 364148298 431583168 485531064 647374752 728296596 863166336 971062128 1294749504 1456593192 1942124256 2589499008 2913186384 3884248512 5826372768 7768497024 11652745536 23305491072