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4263001056564 = 2233759891828481
BaseRepresentation
bin111110000010001110101…
…010011110010100110100
3120002112112212120122211220
4332002032222132110310
51024321111232302224
613022221243230340
7616664066050635
oct76021652362464
916075485518756
104263001056564
1113a3a23a62068
1258a2465183b0
1324bccb5391b3
1410a48a6b388c
1575d55384279
hex3e08ea9e534

4263001056564 has 96 divisors (see below), whose sum is σ = 10505726179200. Its totient is φ = 1343888916480.

The previous prime is 4263001056551. The next prime is 4263001056569. The reversal of 4263001056564 is 4656501003624.

4263001056564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4263001056569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417204 + ... + 3245684.

It is an arithmetic number, because the mean of its divisors is an integer number (109434647700).

Almost surely, 24263001056564 is an apocalyptic number.

It is an amenable number.

4263001056564 is an abundant number, since it is smaller than the sum of its proper divisors (6242725122636).

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

4263001056564 is a wasteful number, since it uses less digits than its factorization.

4263001056564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828673 (or 1828671 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 4263001056564 in words is "four trillion, two hundred sixty-three billion, one million, fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 37 59 74 89 111 118 148 177 178 222 236 267 354 356 444 534 708 1068 2183 3293 4366 5251 6549 6586 8732 9879 10502 13098 13172 15753 19758 21004 26196 31506 39516 63012 194287 388574 582861 777148 1165722 1828481 2331444 3656962 5485443 7313924 10970886 21941772 67653797 107880379 135307594 162734809 202961391 215760758 270615188 323641137 325469618 405922782 431521516 488204427 647282274 650939236 811845564 976408854 1294564548 1952817708 3991574023 6021187933 7983148046 9601353731 11974722069 12042375866 15966296092 18063563799 19202707462 23949444138 24084751732 28804061193 36127127598 38405414924 47898888276 57608122386 72254255196 115216244772 355250088047 710500176094 1065750264141 1421000352188 2131500528282 4263001056564