Search a number
-
+
155287907669400 = 2335211283261731769
BaseRepresentation
bin100011010011101111001000…
…100100110001010110011000
3202100211101020021122220110120
4203103233020210301112120
5130323214113330410100
61310134140245113240
744465116054264062
oct4323571044612630
9670741207586416
10155287907669400
1145530260594070
12154bba060b8820
13688578243a56c
142a4bd90d30732
1512e45dc9020a0
hex8d3bc8931598

155287907669400 has 384 divisors, whose sum is σ = 527229117676800. Its totient is φ = 37497015705600.

The previous prime is 155287907669381. The next prime is 155287907669423. The reversal of 155287907669400 is 4966709782551.

155287907669400 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 2×1552879076694002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4888016716 + ... + 4888048484.

It is an arithmetic number, because the mean of its divisors is an integer number (1372992493950).

Almost surely, 2155287907669400 is an apocalyptic number.

155287907669400 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 155287907669400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263614558838400).

155287907669400 is an abundant number, since it is smaller than the sum of its proper divisors (371941210007400).

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

155287907669400 is a wasteful number, since it uses less digits than its factorization.

155287907669400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34699 (or 34690 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 69.

The spelling of 155287907669400 in words is "one hundred fifty-five trillion, two hundred eighty-seven billion, nine hundred seven million, six hundred sixty-nine thousand, four hundred".