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151355153400 = 2335211128917791
BaseRepresentation
bin1000110011110101111…
…0000101101111111000
3112110200012102102212020
42030331132011233320
54434433404402100
6153310454114440
713635502401543
oct2147536055770
9473605372766
10151355153400
115920a046a40
122540064ba20
1311371258389
14747b74b85a
153e0ca665a0
hex233d785bf8

151355153400 has 192 divisors, whose sum is σ = 512281497600. Its totient is φ = 36661632000.

The previous prime is 151355153399. The next prime is 151355153407. The reversal of 151355153400 is 4351553151.

151355153400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151355153407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8498505 + ... + 8516295.

It is an arithmetic number, because the mean of its divisors is an integer number (2668132800).

Almost surely, 2151355153400 is an apocalyptic number.

151355153400 is a gapful number since it is divisible by the number (10) 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 151355153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256140748800).

151355153400 is an abundant number, since it is smaller than the sum of its proper divisors (360926344200).

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

151355153400 is a wasteful number, since it uses less digits than its factorization.

151355153400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19110 (or 19101 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 151355153400 in words is "one hundred fifty-one billion, three hundred fifty-five million, one hundred fifty-three thousand, four hundred".