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2130958716642 = 232752332337229
BaseRepresentation
bin11111000000100111000…
…010011000111011100010
321112201101011202221120200
4133000213002120323202
5234403200412413032
64310540544450030
7306646100141460
oct37004702307342
97481334687520
102130958716642
11751809706a18
122a4bb1919916
13125c43c50352
14751d33db830
153a6700ba47c
hex1f027098ee2

2130958716642 has 48 divisors (see below), whose sum is σ = 5286749058240. Its totient is φ = 607681188576.

The previous prime is 2130958716641. The next prime is 2130958716671. The reversal of 2130958716642 is 2466178590312.

It is a happy number.

2130958716642 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 9 + 587 + 16 + 6 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (2130958716641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16102717 + ... + 16234512.

It is an arithmetic number, because the mean of its divisors is an integer number (110140605380).

It is a 1-persistent number, because it is pandigital, but 2⋅2130958716642 = 4261917433284 is not.

Almost surely, 22130958716642 is an apocalyptic number.

2130958716642 is an abundant number, since it is smaller than the sum of its proper divisors (3155790341598).

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

2130958716642 is a wasteful number, since it uses less digits than its factorization.

2130958716642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32337767 (or 32337764 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2130958716642 in words is "two trillion, one hundred thirty billion, nine hundred fifty-eight million, seven hundred sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 523 1046 1569 3138 3661 4707 7322 9414 10983 21966 32949 65898 32337229 64674458 97011687 194023374 226360603 291035061 452721206 582070122 679081809 1358163618 2037245427 4074490854 16912370767 33824741534 50737112301 101474224602 118386595369 152211336903 236773190738 304422673806 355159786107 710319572214 1065479358321 2130958716642