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31476059472 = 243111323319681
BaseRepresentation
bin11101010100000111…
…101000110101010000
310000020121202111022110
4131110013220311100
51003430332400342
622243201105320
72163002043144
oct352407506520
9100217674273
1031476059472
11123924623a0
126125328240
132c78124480
1417484b9224
15c434e4c9c
hex7541e8d50

31476059472 has 160 divisors (see below), whose sum is σ = 95943609216. Its totient is φ = 8766259200.

The previous prime is 31476059437. The next prime is 31476059473. The reversal of 31476059472 is 27495067413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31476059473) 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, 1589472 + ... + 1609152.

Almost surely, 231476059472 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 31476059472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47971804608).

31476059472 is an abundant number, since it is smaller than the sum of its proper divisors (64467549744).

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

31476059472 is a wasteful number, since it uses less digits than its factorization.

31476059472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19949 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 31476059472 in words is "thirty-one billion, four hundred seventy-six million, fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 233 264 286 312 429 466 528 572 624 699 858 932 1144 1398 1716 1864 2288 2563 2796 3029 3432 3728 5126 5592 6058 6864 7689 9087 10252 11184 12116 15378 18174 19681 20504 24232 30756 33319 36348 39362 41008 48464 59043 61512 66638 72696 78724 99957 118086 123024 133276 145392 157448 199914 216491 236172 255853 266552 314896 399828 432982 472344 511706 533104 649473 767559 799656 865964 944688 1023412 1298946 1535118 1599312 1731928 2046824 2597892 2814383 3070236 3463856 4093648 4585673 5195784 5628766 6140472 8443149 9171346 10391568 11257532 12280944 13757019 16886298 18342692 22515064 27514038 33772596 36685384 45030128 50442403 55028076 59613749 67545192 73370768 100884806 110056152 119227498 135090384 151327209 178841247 201769612 220112304 238454996 302654418 357682494 403539224 476909992 605308836 655751239 715364988 807078448 953819984 1210617672 1311502478 1430729976 1967253717 2421235344 2623004956 2861459952 3934507434 5246009912 7869014868 10492019824 15738029736 31476059472