Search a number
-
+
151451237501652 = 223114373365516999
BaseRepresentation
bin100010011011111001111101…
…001101100100101011010100
3201212020121010010212100122210
4202123321331031210223110
5124322334113300023102
61254035423224153420
743620663565035624
oct4233717515445324
9655217103770583
10151451237501652
1144291122275940
1214ba0321008870
136667a377075aa
1429583c9848884
1512798da8cb36c
hex89be7d364ad4

151451237501652 has 96 divisors (see below), whose sum is σ = 399881446272000. Its totient is φ = 44212936078080.

The previous prime is 151451237501623. The next prime is 151451237501653. The reversal of 151451237501652 is 256105732154151.

151451237501652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1514512375016522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151451237501653) 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, 182344152 + ... + 183172847.

It is an arithmetic number, because the mean of its divisors is an integer number (4165431732000).

Almost surely, 2151451237501652 is an apocalyptic number.

151451237501652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151451237501652 is an abundant number, since it is smaller than the sum of its proper divisors (248430208770348).

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

151451237501652 is a wasteful number, since it uses less digits than its factorization.

151451237501652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365517133 (or 365517131 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 48.

The spelling of 151451237501652 in words is "one hundred fifty-one trillion, four hundred fifty-one billion, two hundred thirty-seven million, five hundred one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 73 86 129 132 146 172 219 258 292 438 473 516 803 876 946 1419 1606 1892 2409 2838 3139 3212 4818 5676 6278 9417 9636 12556 18834 34529 37668 69058 103587 138116 207174 414348 365516999 731033998 1096550997 1462067996 2193101994 4020686989 4386203988 8041373978 12062060967 15717230957 16082747956 24124121934 26682740927 31434461914 47151692871 48248243868 53365481854 62868923828 80048222781 94303385742 106730963708 160096445562 172889540527 188606771484 293510150197 320192891124 345779081054 518668621581 587020300394 691558162108 880530450591 1037337243162 1147357859861 1174040600788 1761060901182 2074674486324 2294715719722 3442073579583 3522121802364 4589431439444 6884147159166 12620936458471 13768294318332 25241872916942 37862809375413 50483745833884 75725618750826 151451237501652