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252561157770656 = 25723431140045671
BaseRepresentation
bin111001011011001111111010…
…000101111100110110100000
31020010020121111022222112102202
4321123033322011330312200
5231100430222342130111
62253052554422232332
7104124640634634620
oct7133177205746640
91203217438875382
10252561157770656
117352364933aa29
12243b00648856a8
13aac055194b157
14465204d450880
151e2ea66a0ab3b
hexe5b3fa17cda0

252561157770656 has 96 divisors (see below), whose sum is σ = 606759667734528. Its totient is φ = 101126611111680.

The previous prime is 252561157770611. The next prime is 252561157770661. The reversal of 252561157770656 is 656077751165252.

It is a happy number.

It is a super-2 number, since 2×2525611577706562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252561157770592 and 252561157770601.

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, 569801300 + ... + 570244371.

It is an arithmetic number, because the mean of its divisors is an integer number (6320413205568).

Almost surely, 2252561157770656 is an apocalyptic number.

It is an amenable number.

252561157770656 is an abundant number, since it is smaller than the sum of its proper divisors (354198509963872).

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

252561157770656 is a wasteful number, since it uses less digits than its factorization.

252561157770656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140045754 (or 1140045746 counting only the distinct ones).

The product of its (nonzero) digits is 185220000, while the sum is 65.

The spelling of 252561157770656 in words is "two hundred fifty-two trillion, five hundred sixty-one billion, one hundred fifty-seven million, seven hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 86 92 112 161 172 184 224 301 322 344 368 602 644 688 736 989 1204 1288 1376 1978 2408 2576 3956 4816 5152 6923 7912 9632 13846 15824 27692 31648 55384 110768 221536 1140045671 2280091342 4560182684 7980319697 9120365368 15960639394 18240730736 26221050433 31921278788 36481461472 49021963853 52442100866 63842557576 98043927706 104884201732 127685115152 183547353031 196087855412 209768403464 255370230304 343153746971 367094706062 392175710824 419536806928 686307493942 734189412124 784351421648 839073613856 1127505168619 1372614987884 1468378824248 1568702843296 2255010337238 2745229975768 2936757648496 4510020674476 5490459951536 5873515296992 7892536180333 9020041348952 10980919903072 15785072360666 18040082697904 31570144721332 36080165395808 63140289442664 126280578885328 252561157770656