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151055053434 = 23229953303649
BaseRepresentation
bin1000110010101110010…
…1010011001001111010
3112102220021201210002200
42030223211103021322
54433330043202214
6153221014011030
713625166524535
oct2145345231172
9472807653080
10151055053434
115907570443a
1225338046a76
1311324023c2c
14744d94da1c
153de1537d09
hex232b95327a

151055053434 has 48 divisors (see below), whose sum is σ = 338928057000. Its totient is φ = 48564246528.

The previous prime is 151055053433. The next prime is 151055053517. The reversal of 151055053434 is 434350550151.

151055053434 is a `hidden beast` number, since 1 + 5 + 10 + 550 + 53 + 43 + 4 = 666.

151055053434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 140177606409 + 10877447025 = 374403^2 + 104295^2 .

It is not an unprimeable number, because it can be changed into a prime (151055053433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345642 + ... + 649290.

Almost surely, 2151055053434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151055053434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169464028500).

151055053434 is an abundant number, since it is smaller than the sum of its proper divisors (187873003566).

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

151055053434 is a wasteful number, since it uses less digits than its factorization.

151055053434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304639 (or 304636 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 151055053434 in words is "one hundred fifty-one billion, fifty-five million, fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 953 1906 2859 5718 8577 17154 27637 55274 82911 165822 248733 303649 497466 607298 910947 1821894 2732841 5465682 8805821 17611642 26417463 52834926 79252389 158504778 289377497 578754994 868132491 1736264982 2604397473 5208794946 8391947413 16783894826 25175842239 50351684478 75527526717 151055053434