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151042563744 = 2531682993491
BaseRepresentation
bin1000110010101011010…
…1101001111010100000
3112102212102020020110120
42030222311221322200
54433313344014434
6153215450200240
713624655415462
oct2145265517240
9472772206416
10151042563744
1159069653786
1225333a23080
1311321570097
14744c01c132
153de03bc349
hex232ad69ea0

151042563744 has 48 divisors (see below), whose sum is σ = 396514530720. Its totient is φ = 50343991040.

The previous prime is 151042563739. The next prime is 151042563751. The reversal of 151042563744 is 447365240151.

151042563744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 151042563696 and 151042563705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1568839 + ... + 1662329.

It is an arithmetic number, because the mean of its divisors is an integer number (8260719390).

Almost surely, 2151042563744 is an apocalyptic number.

It is an amenable number.

151042563744 is an abundant number, since it is smaller than the sum of its proper divisors (245471966976).

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

151042563744 is a wasteful number, since it uses less digits than its factorization.

151042563744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110333 (or 110325 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 151042563744 in words is "one hundred fifty-one billion, forty-two million, five hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 16829 33658 50487 67316 93491 100974 134632 186982 201948 269264 280473 373964 403896 538528 560946 747928 807792 1121892 1495856 1615584 2243784 2991712 4487568 8975136 1573360039 3146720078 4720080117 6293440156 9440160234 12586880312 18880320468 25173760624 37760640936 50347521248 75521281872 151042563744