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151241652552 = 2332311314916273
BaseRepresentation
bin1000110011011010110…
…1000111100101001000
3112110101021211222222010
42030312231013211020
54434220330340202
6153251321255520
713632623556354
oct2146655074510
9473337758863
10151241652552
1159160a74091
122538a6345a0
1311353898703
14746a644464
153e02ae676c
hex2336b47948

151241652552 has 128 divisors (see below), whose sum is σ = 400730976000. Its totient is φ = 47471542272.

The previous prime is 151241652521. The next prime is 151241652557. The reversal of 151241652552 is 255256142151.

It is a happy number.

It is a super-2 number, since 2×1512416525522 (a number of 23 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 151241652552.

It is not an unprimeable number, because it can be changed into a prime (151241652557) 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, 9285888 + ... + 9302160.

It is an arithmetic number, because the mean of its divisors is an integer number (3130710750).

Almost surely, 2151241652552 is an apocalyptic number.

151241652552 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 151241652552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200365488000).

151241652552 is an abundant number, since it is smaller than the sum of its proper divisors (249489323448).

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

151241652552 is a wasteful number, since it uses less digits than its factorization.

151241652552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16567 (or 16563 counting only the distinct ones).

The product of its digits is 120000, while the sum is 39.

The spelling of 151241652552 in words is "one hundred fifty-one billion, two hundred forty-one million, six hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 138 149 184 226 276 298 339 447 452 552 596 678 894 904 1192 1356 1788 2599 2712 3427 3576 5198 6854 7797 10281 10396 13708 15594 16273 16837 20562 20792 27416 31188 32546 33674 41124 48819 50511 62376 65092 67348 82248 97638 101022 130184 134696 195276 202044 374279 387251 390552 404088 748558 774502 1122837 1161753 1497116 1549004 1838849 2245674 2323506 2424677 2994232 3098008 3677698 4491348 4647012 4849354 5516547 7274031 7355396 8982696 9294024 9698708 11033094 14548062 14710792 19397416 22066188 29096124 42293527 44132376 55767571 58192248 84587054 111535142 126880581 167302713 169174108 223070284 253761162 273988501 334605426 338348216 446140568 507522324 547977002 669210852 821965503 1015044648 1095954004 1338421704 1643931006 2191908008 3287862012 6301735523 6575724024 12603471046 18905206569 25206942092 37810413138 50413884184 75620826276 151241652552