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155067256032 = 2531321719127233
BaseRepresentation
bin1001000001101010111…
…0101000110011100000
3112211020220101210100220
42100122232220303200
510020034204143112
6155123101243040
714126465633313
oct2203256506340
9484226353326
10155067256032
115a844472657
1226077863480
1311813328900
14771075c97a
1540788bd98c
hex241aba8ce0

155067256032 has 576 divisors, whose sum is σ = 497255915520. Its totient is φ = 42026729472.

The previous prime is 155067256031. The next prime is 155067256033. The reversal of 155067256032 is 230652760551.

155067256032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (155067256031) and next prime (155067256033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155067256031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665524588 + ... + 665524820.

It is an arithmetic number, because the mean of its divisors is an integer number (863291520).

Almost surely, 2155067256032 is an apocalyptic number.

155067256032 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 155067256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248627957760).

155067256032 is an abundant number, since it is smaller than the sum of its proper divisors (342188659488).

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

155067256032 is a wasteful number, since it uses less digits than its factorization.

155067256032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 155067256032 in words is "one hundred fifty-five billion, sixty-seven million, two hundred fifty-six thousand, thirty-two".