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152156345000 = 23541112292251
BaseRepresentation
bin1000110110110100111…
…0011001001010101000
3112112202001000012010012
42031231032121022220
54443104011020000
6153522154311052
713664401410242
oct2155516311250
9475661005105
10152156345000
1159590321060
12255a4a28488
131146b23774a
147515d07092
153e58076735
hex236d3992a8

152156345000 has 160 divisors (see below), whose sum is σ = 389400976800. Its totient is φ = 55260000000.

The previous prime is 152156344987. The next prime is 152156345017. The reversal of 152156345000 is 543651251.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67593875 + ... + 67596125.

It is an arithmetic number, because the mean of its divisors is an integer number (2433756105).

Almost surely, 2152156345000 is an apocalyptic number.

152156345000 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 152156345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194700488400).

152156345000 is an abundant number, since it is smaller than the sum of its proper divisors (237244631800).

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

152156345000 is a wasteful number, since it uses less digits than its factorization.

152156345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 152156345000 its reverse (543651251), we get a palindrome (152699996251).

The spelling of 152156345000 in words is "one hundred fifty-two billion, one hundred fifty-six million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1229 1250 1375 2200 2251 2458 2500 2750 4502 4916 5000 5500 6145 6875 9004 9832 11000 11255 12290 13519 13750 18008 22510 24580 24761 27038 27500 30725 45020 49160 49522 54076 55000 56275 61450 67595 90040 99044 108152 112550 122900 123805 135190 153625 198088 225100 245800 247610 270380 281375 307250 337975 450200 495220 540760 562750 614500 619025 675950 768125 990440 1125500 1229000 1238050 1351900 1406875 1536250 1689875 2251000 2476100 2703800 2766479 2813750 3072500 3095125 3379750 4952200 5532958 5627500 6145000 6190250 6759500 8449375 11065916 11255000 12380500 13519000 13832395 15475625 16898750 22131832 24761000 27664790 30431269 30951250 33797500 55329580 60862538 61902500 67595000 69161975 110659160 121725076 123805000 138323950 152156345 243450152 276647900 304312690 345809875 553295800 608625380 691619750 760781725 1217250760 1383239500 1521563450 1729049375 2766479000 3043126900 3458098750 3803908625 6086253800 6916197500 7607817250 13832395000 15215634500 19019543125 30431269000 38039086250 76078172500 152156345000