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13190057472 = 293292771069
BaseRepresentation
bin11000100100011000…
…00100111000000000
31021001020102100022010
430102030010320000
5204003123314342
610020500412520
7644601432024
oct142214047000
937036370263
1013190057472
115659497449
1226813a7140
131322887647
148d1ac0384
15522e9529c
hex312304e00

13190057472 has 160 divisors (see below), whose sum is σ = 36516189600. Its totient is φ = 4225794048.

The previous prime is 13190057459. The next prime is 13190057483. The reversal of 13190057472 is 27475009131.

It is a super-2 number, since 2×131900574722 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13190057472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12338154 + ... + 12339222.

It is an arithmetic number, because the mean of its divisors is an integer number (228226185).

Almost surely, 213190057472 is an apocalyptic number.

13190057472 is a gapful number since it is divisible by the number (12) 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 13190057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258094800).

13190057472 is an abundant number, since it is smaller than the sum of its proper divisors (23326132128).

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

13190057472 is a wasteful number, since it uses less digits than its factorization.

13190057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 13190057472 in words is "thirteen billion, one hundred ninety million, fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 277 348 384 464 512 554 696 768 831 928 1069 1108 1392 1536 1662 1856 2138 2216 2784 3207 3324 3712 4276 4432 5568 6414 6648 7424 8033 8552 8864 11136 12828 13296 14848 16066 17104 17728 22272 24099 25656 26592 31001 32132 34208 35456 44544 48198 51312 53184 62002 64264 68416 70912 93003 96396 102624 106368 124004 128528 136832 141824 186006 192792 205248 212736 248008 257056 273664 296113 372012 385584 410496 425472 496016 514112 547328 592226 744024 771168 820992 888339 992032 1028224 1184452 1488048 1542336 1641984 1776678 1984064 2056448 2368904 2976096 3084672 3553356 3968128 4112896 4737808 5952192 6169344 7106712 7936256 8587277 9475616 11904384 12338688 14213424 15872512 17174554 18951232 23808768 25761831 28426848 34349108 37902464 47617536 51523662 56853696 68698216 75804928 103047324 113707392 137396432 151609856 206094648 227414784 274792864 412189296 454829568 549585728 824378592 1099171456 1648757184 2198342912 3297514368 4396685824 6595028736 13190057472