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5665565666552 = 23112331149606017
BaseRepresentation
bin101001001110001111000…
…0001110110110011111000
3202001121211000100010211212
41102130132001312303320
51220311034302312202
620014420330342252
71123215666404021
oct122343601666370
922047730303755
105665565666552
111894831132840
1277603658a988
1332135057486c
1415830174bc48
159c593733652
hex5271e076cf8

5665565666552 has 128 divisors (see below), whose sum is σ = 12566389248000. Its totient is φ = 2367825715200.

The previous prime is 5665565666531. The next prime is 5665565666567. The reversal of 5665565666552 is 2556665655665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9045848 + ... + 9651864.

It is an arithmetic number, because the mean of its divisors is an integer number (98174916000).

Almost surely, 25665565666552 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 5665565666552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283194624000).

5665565666552 is an abundant number, since it is smaller than the sum of its proper divisors (6900823581448).

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

5665565666552 is a wasteful number, since it uses less digits than its factorization.

5665565666552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606237 (or 606233 counting only the distinct ones).

The product of its digits is 1458000000, while the sum is 68.

The spelling of 5665565666552 in words is "five trillion, six hundred sixty-five billion, five hundred sixty-five million, six hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 149 184 248 253 298 341 506 596 682 713 1012 1192 1364 1426 1639 2024 2728 2852 3278 3427 4619 5704 6556 6854 7843 9238 13112 13708 15686 18476 27416 31372 36952 37697 50809 62744 75394 101618 106237 150788 203236 212474 301576 406472 424948 606017 849896 1168607 1212034 2337214 2424068 4674428 4848136 6666187 9348856 13332374 13938391 18786527 26664748 27876782 37573054 53329496 55753564 75146108 90296533 111507128 150292216 153322301 180593066 206651797 306644602 361186132 413303594 432090121 613289204 722372264 826607188 864180242 993261863 1226578408 1653214376 1728360484 1986523726 2076820259 2799192523 3456720968 3973047452 4153640518 4752991331 5598385046 7946094904 8307281036 9505982662 11196770092 16614562072 19011965324 22393540184 22845022849 30791117753 38023930648 45690045698 61582235506 64381428029 91380091396 123164471012 128762856058 182760182792 246328942024 257525712116 515051424232 708195708319 1416391416638 2832782833276 5665565666552