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2132515015002 = 2321737757248813
BaseRepresentation
bin11111000010000011110…
…011001100100101011010
321112212101122020002120200
4133002003303030211122
5234414342320440002
64311355221403030
7310032465355461
oct37020363144532
97485348202520
102132515015002
11752438149a09
122a5366b69476
131261314c4758
14752ddd979d8
153a711a35b1c
hex1f083ccc95a

2132515015002 has 96 divisors (see below), whose sum is σ = 5031120596112. Its totient is φ = 650080069632.

The previous prime is 2132515014989. The next prime is 2132515015009. The reversal of 2132515015002 is 2005105152312.

2132515015002 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 5 + 150 + 1 + 500 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1436093053641 + 696421961361 = 1198371^2 + 834519^2 .

It is not an unprimeable number, because it can be changed into a prime (2132515015009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8446348 + ... + 8695160.

Almost surely, 22132515015002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132515015002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515560298056).

2132515015002 is an abundant number, since it is smaller than the sum of its proper divisors (2898605581110).

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

2132515015002 is a wasteful number, since it uses less digits than its factorization.

2132515015002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249632 (or 249629 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 2132515015002 in words is "two trillion, one hundred thirty-two billion, five hundred fifteen million, fifteen thousand, two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 757 1258 1514 1887 2271 3774 4542 5661 6813 11322 12869 13626 25738 28009 38607 56018 77214 84027 115821 168054 231642 248813 252081 476153 497626 504162 746439 952306 1428459 1492878 2239317 2856918 4229821 4285377 4478634 8459642 8570754 9206081 12689463 18412162 25378926 27618243 38068389 55236486 76136778 82854729 156503377 165709458 188351441 313006754 376702882 469510131 565054323 939020262 1130108646 1408530393 1695162969 2817060786 3201974497 3390325938 6403948994 6969003317 9605923491 13938006634 19211846982 20907009951 28817770473 41814019902 57635540946 62721029853 118473056389 125442059706 236946112778 355419169167 710838338334 1066257507501 2132515015002