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2130976355664 = 2431314922919639
BaseRepresentation
bin11111000000101000000…
…101101011010101010000
321112201102101222002202210
4133000220011223111100
5234403214421340124
64310542414512120
7306646403105262
oct37005005532520
97481371862683
102130976355664
11751818664422
122a4bb7805640
13125c477b7c40
14751d58adb32
153a671901a29
hex1f02816b550

2130976355664 has 80 divisors (see below), whose sum is σ = 5968274256000. Its totient is φ = 651284433408.

The previous prime is 2130976355663. The next prime is 2130976355693. The reversal of 2130976355664 is 4665536790312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130976355663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11366844 + ... + 11552795.

It is an arithmetic number, because the mean of its divisors is an integer number (74603428200).

Almost surely, 22130976355664 is an apocalyptic number.

2130976355664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130976355664 is an abundant number, since it is smaller than the sum of its proper divisors (3837297900336).

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

2130976355664 is a wasteful number, since it uses less digits than its factorization.

2130976355664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22919812 (or 22919806 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 2130976355664 in words is "two trillion, one hundred thirty billion, nine hundred seventy-six million, three hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 208 298 312 447 596 624 894 1192 1788 1937 2384 3576 3874 5811 7152 7748 11622 15496 23244 30992 46488 92976 22919639 45839278 68758917 91678556 137517834 183357112 275035668 297955307 366714224 550071336 595910614 893865921 1100142672 1191821228 1787731842 2383642456 3415026211 3575463684 4767284912 6830052422 7150927368 10245078633 13660104844 14301854736 20490157266 27320209688 40980314532 44395340743 54640419376 81960629064 88790681486 133186022229 163921258128 177581362972 266372044458 355162725944 532744088916 710325451888 1065488177832 2130976355664