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2964012969216 = 28313476316517
BaseRepresentation
bin101011001000011100111…
…100001010110100000000
3101111100122011022200211010
4223020130330022310000
5342030244310003331
610145352044320520
7424100001354015
oct53103474126400
911440564280733
102964012969216
11a4303805a922
123ba541b43140
13186674c90250
14a365d69770c
155217a1e4e46
hex2b21cf0ad00

2964012969216 has 144 divisors (see below), whose sum is σ = 8676166996224. Its totient is φ = 892599508992.

The previous prime is 2964012969179. The next prime is 2964012969223. The reversal of 2964012969216 is 6129692104692.

It is a congruent number.

It is an unprimeable number.

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, 2689011 + ... + 3627506.

It is an arithmetic number, because the mean of its divisors is an integer number (60251159696).

Almost surely, 22964012969216 is an apocalyptic number.

2964012969216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2964012969216 is an abundant number, since it is smaller than the sum of its proper divisors (5712154027008).

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

2964012969216 is a wasteful number, since it uses less digits than its factorization.

2964012969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316596 (or 6316582 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 2964012969216 in words is "two trillion, nine hundred sixty-four billion, twelve million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 256 282 312 376 384 416 564 611 624 752 768 832 1128 1222 1248 1504 1664 1833 2256 2444 2496 3008 3328 3666 4512 4888 4992 6016 7332 9024 9776 9984 12032 14664 18048 19552 29328 36096 39104 58656 78208 117312 156416 234624 469248 6316517 12633034 18949551 25266068 37899102 50532136 75798204 82114721 101064272 151596408 164229442 202128544 246344163 296876299 303192816 328458884 404257088 492688326 593752598 606385632 656917768 808514176 890628897 985376652 1187505196 1212771264 1313835536 1617028352 1781257794 1970753304 2375010392 2425542528 2627671072 3562515588 3859391887 3941506608 4750020784 4851085056 5255342144 7125031176 7718783774 7883013216 9500041568 10510684288 11578175661 14250062352 15437567548 15766026432 19000083136 21021368576 23156351322 28500124704 30875135096 31532052864 38000166272 46312702644 57000249408 61750270192 63064105728 76000332544 92625405288 114000498816 123500540384 185250810576 228000997632 247001080768 370501621152 494002161536 741003242304 988004323072 1482006484608 2964012969216