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152311052000 = 255379481997
BaseRepresentation
bin1000110111011001110…
…0100011011011100000
3112120010211010010020002
42031312130203123200
54443413112131000
6153545402235132
714001260403122
oct2156634433340
9476124103202
10152311052000
115965a688788
12256287b5aa8
13114942c3c53
14752c699212
153e669358d5
hex23767236e0

152311052000 has 96 divisors (see below), whose sum is σ = 378966107520. Its totient is φ = 60153100800.

The previous prime is 152311051943. The next prime is 152311052011. The reversal of 152311052000 is 250113251.

It is a happy number.

152311052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1523110520002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75002 + ... + 556998.

It is an arithmetic number, because the mean of its divisors is an integer number (3947563620).

Almost surely, 2152311052000 is an apocalyptic number.

152311052000 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 152311052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189483053760).

152311052000 is an abundant number, since it is smaller than the sum of its proper divisors (226655055520).

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

152311052000 is an equidigital number, since it uses as much as digits as its factorization.

152311052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482101 (or 482083 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 152311052000 its reverse (250113251), we get a palindrome (152561165251).

The spelling of 152311052000 in words is "one hundred fifty-two billion, three hundred eleven million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 632 790 800 1000 1264 1580 1975 2000 2528 3160 3950 4000 6320 7900 9875 12640 15800 19750 31600 39500 63200 79000 158000 316000 481997 963994 1927988 2409985 3855976 4819970 7711952 9639940 12049925 15423904 19279880 24099850 38077763 38559760 48199700 60249625 76155526 77119520 96399400 120499250 152311052 190388815 192798800 240998500 304622104 380777630 385597600 481997000 609244208 761555260 951944075 963994000 1218488416 1523110520 1903888150 1927988000 3046221040 3807776300 4759720375 6092442080 7615552600 9519440750 15231105200 19038881500 30462210400 38077763000 76155526000 152311052000