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52135151120 = 24513145334501
BaseRepresentation
bin110000100011011111…
…110100011000010000
311222120101111002022222
4300203133310120100
51323233044313440
635541153120212
73523646321063
oct604337643020
9158511432288
1052135151120
1120123a2a758
12a12bb59068
134bbb217360
14274812a8da
1515520522b5
hexc237f4610

52135151120 has 80 divisors (see below), whose sum is σ = 130632024432. Its totient is φ = 19236096000.

The previous prime is 52135151119. The next prime is 52135151161. The reversal of 52135151120 is 2115153125.

It can be written as a sum of positive squares in 8 ways, for example, as 357058816 + 51778092304 = 18896^2 + 227548^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 52135151120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493870 + ... + 1528370.

Almost surely, 252135151120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52135151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65316012216).

52135151120 is an abundant number, since it is smaller than the sum of its proper divisors (78496873312).

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

52135151120 is a wasteful number, since it uses less digits than its factorization.

52135151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35980 (or 35974 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The spelling of 52135151120 in words is "fifty-two billion, one hundred thirty-five million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1453 2906 5812 7265 11624 14530 18889 23248 29060 34501 37778 58120 69002 75556 94445 116240 138004 151112 172505 188890 276008 302224 345010 377780 448513 552016 690020 755560 897026 1380040 1511120 1794052 2242565 2760080 3588104 4485130 7176208 8970260 17940520 35881040 50129953 100259906 200519812 250649765 401039624 501299530 651689389 802079248 1002599060 1303378778 2005198120 2606757556 3258446945 4010396240 5213515112 6516893890 10427030224 13033787780 26067575560 52135151120