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219620397664 = 25532512831823
BaseRepresentation
bin1100110010001001100…
…1010101001001100000
3202222212201112011020101
43030202121111021200
512044240310211124
6244520415152144
721603253402363
oct3144231251140
9688781464211
10219620397664
118515aa97388
1236692515654
1317930177935
14a8b5bd20da
155aa5c0a644
hex3322655260

219620397664 has 96 divisors (see below), whose sum is σ = 444097188864. Its totient is φ = 106871232000.

The previous prime is 219620397641. The next prime is 219620397671. The reversal of 219620397664 is 466793026912.

It is a congruent number.

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, 120471057 + ... + 120472879.

It is an arithmetic number, because the mean of its divisors is an integer number (4626012384).

Almost surely, 2219620397664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219620397664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222048594432).

219620397664 is an abundant number, since it is smaller than the sum of its proper divisors (224476791200).

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

219620397664 is a wasteful number, since it uses less digits than its factorization.

219620397664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 219620397664 in words is "two hundred nineteen billion, six hundred twenty million, three hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 106 212 251 283 424 502 566 848 1004 1132 1696 1823 2008 2264 3646 4016 4528 7292 8032 9056 13303 14584 14999 26606 29168 29998 53212 58336 59996 71033 96619 106424 119992 142066 193238 212848 239984 284132 386476 425696 457573 479968 515909 568264 772952 915146 1031818 1136528 1545904 1830292 2063636 2273056 3091808 3660584 3764749 4127272 7321168 7529498 8254544 14642336 15058996 16509088 24251369 27343177 30117992 48502738 54686354 60235984 97005476 109372708 120471968 129493159 194010952 218745416 258986318 388021904 437490832 517972636 776043808 874981664 1035945272 2071890544 4143781088 6863137427 13726274854 27452549708 54905099416 109810198832 219620397664