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31264068432 = 24361711011489
BaseRepresentation
bin11101000111011110…
…111101001101010000
32222200211212020021110
4131013132331031100
51003012100142212
622210145253320
72154516124362
oct350736751520
988624766243
1031264068432
111229382a393
126086334240
132c4322c29c
141728294d32
15c2eabca3c
hex7477bd350

31264068432 has 160 divisors (see below), whose sum is σ = 84126401280. Its totient is φ = 9999360000.

The previous prime is 31264068427. The next prime is 31264068439. The reversal of 31264068432 is 23486046213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31264068439) 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, 20995944 + ... + 20997432.

It is an arithmetic number, because the mean of its divisors is an integer number (525790008).

Almost surely, 231264068432 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 31264068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42063200640).

31264068432 is an abundant number, since it is smaller than the sum of its proper divisors (52862332848).

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

31264068432 is a wasteful number, since it uses less digits than its factorization.

31264068432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 31264068432 in words is "thirty-one billion, two hundred sixty-four million, sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 71 101 122 142 183 202 213 244 284 303 366 404 426 488 568 606 732 808 852 976 1136 1212 1464 1489 1616 1704 2424 2928 2978 3408 4331 4467 4848 5956 6161 7171 8662 8934 11912 12322 12993 14342 17324 17868 18483 21513 23824 24644 25986 28684 34648 35736 36966 43026 49288 51972 57368 69296 71472 73932 86052 90829 98576 103944 105719 114736 147864 150389 172104 181658 207888 211438 272487 295728 300778 317157 344208 363316 422876 437431 451167 544974 601556 634314 726632 845752 874862 902334 1089948 1203112 1268628 1312293 1453264 1691504 1749724 1804668 2179896 2406224 2537256 2624586 3499448 3609336 4359792 5074512 5249172 6448859 6998896 7218672 9173729 10498344 10677619 12897718 18347458 19346577 20996688 21355238 25795436 27521187 32032857 36694916 38693154 42710476 51590872 55042374 64065714 73389832 77386308 85420952 103181744 110084748 128131428 146779664 154772616 170841904 220169496 256262856 309545232 440338992 512525712 651334759 1302669518 1954004277 2605339036 3908008554 5210678072 7816017108 10421356144 15632034216 31264068432