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31249468416 = 210319535387
BaseRepresentation
bin11101000110100111…
…010000110000000000
32222122211101110211010
4131012213100300000
51002444330442131
622204504320520
72154251045625
oct350647206000
988584343733
1031249468416
1112286568161
126081473140
132c401b9a1a
14172637434c
15c2d686b46
hex7469d0c00

31249468416 has 88 divisors (see below), whose sum is σ = 87675138880. Its totient is φ = 9868234752.

The previous prime is 31249468373. The next prime is 31249468417. The reversal of 31249468416 is 61486494213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (31249468417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209326 + ... + 326061.

Almost surely, 231249468416 is an apocalyptic number.

It is an amenable number.

31249468416 is an abundant number, since it is smaller than the sum of its proper divisors (56425670464).

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

31249468416 is a wasteful number, since it uses less digits than its factorization.

31249468416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535429 (or 535411 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 31249468416 in words is "thirty-one billion, two hundred forty-nine million, four hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 58368 535387 1070774 1606161 2141548 3212322 4283096 6424644 8566192 10172353 12849288 17132384 20344706 25698576 30517059 34264768 40689412 51397152 61034118 68529536 81378824 102794304 122068236 137059072 162757648 205588608 244136472 274118144 325515296 411177216 488272944 548236288 651030592 822354432 976545888 1302061184 1644708864 1953091776 2604122368 3906183552 5208244736 7812367104 10416489472 15624734208 31249468416