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153255514400 = 2552679328201
BaseRepresentation
bin1000111010111010111…
…1011001000100100000
3112122120122021210001222
42032232233121010200
510002331402430100
6154223221314212
714033546243612
oct2165657310440
9478518253058
10153255514400
1159aa481931a
1225850b65968
13115b4b87341
1475bbcaadb2
153ebe7e6485
hex23aebd9120

153255514400 has 72 divisors (see below), whose sum is σ = 374203369764. Its totient is φ = 61291008000.

The previous prime is 153255514333. The next prime is 153255514411. The reversal of 153255514400 is 4415552351.

It can be written as a sum of positive squares in 6 ways, for example, as 35054323984 + 118201190416 = 187228^2 + 343804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5420300 + ... + 5448500.

Almost surely, 2153255514400 is an apocalyptic number.

153255514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153255514400 is an abundant number, since it is smaller than the sum of its proper divisors (220947855364).

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

153255514400 is a wasteful number, since it uses less digits than its factorization.

153255514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35014 (or 35001 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 153255514400 in words is "one hundred fifty-three billion, two hundred fifty-five million, five hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6793 13586 27172 28201 33965 54344 56402 67930 108688 112804 135860 141005 169825 217376 225608 271720 282010 339650 451216 543440 564020 679300 705025 902432 1086880 1128040 1358600 1410050 2256080 2717200 2820100 4512160 5434400 5640200 11280400 22560800 191569393 383138786 766277572 957846965 1532555144 1915693930 3065110288 3831387860 4789234825 6130220576 7662775720 9578469650 15325551440 19156939300 30651102880 38313878600 76627757200 153255514400