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2120310416264 = 237326931742577
BaseRepresentation
bin11110110110101100010…
…110010110001110001000
321111200220002010020112012
4132312230112112032020
5234214343431310024
64302020202435052
7306121161112115
oct36665426261610
97450802106465
102120310416264
11748244a54277
122a2b1b802a88
13124c37b556b1
14748a311b90c
153a24a34d50e
hex1edac596388

2120310416264 has 64 divisors (see below), whose sum is σ = 4057879258800. Its totient is φ = 1038434770944.

The previous prime is 2120310416233. The next prime is 2120310416281. The reversal of 2120310416264 is 4626140130212.

It can be written as a sum of positive squares in 8 ways, for example, as 532564252900 + 1587746163364 = 729770^2 + 1260058^2 .

It is a super-2 number, since 2×21203104162642 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2120310416264.

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, 49778144 + ... + 49820720.

Almost surely, 22120310416264 is an apocalyptic number.

It is an amenable number.

2120310416264 is a deficient number, since it is larger than the sum of its proper divisors (1937568842536).

2120310416264 is a wasteful number, since it uses less digits than its factorization.

2120310416264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43242 (or 43238 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 2120310416264 its reverse (4626140130212), we get a palindrome (6746450546476).

The spelling of 2120310416264 in words is "two trillion, one hundred twenty billion, three hundred ten million, four hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 73 146 269 292 317 538 584 634 1076 1268 2152 2536 19637 23141 39274 42577 46282 78548 85154 85273 92564 157096 170308 170546 185128 340616 341092 682184 3108121 6216242 6224929 11453213 12432484 12449858 13496909 22906426 24864968 24899716 26993818 45812852 49799432 53987636 91625704 107975272 836084549 985274357 1672169098 1970548714 3344338196 3630668521 3941097428 6688676392 7261337042 7882194856 14522674084 29045348168 265038802033 530077604066 1060155208132 2120310416264