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85105761010556 = 2211133733967118387
BaseRepresentation
bin10011010110011100111010…
…101001110100001101111100
3102011100000211210222011002012
4103112130322221310031330
542123333044304314211
6501001014042350352
723632455044463236
oct2326347251641574
9364300753864065
1085105761010556
112513217242a250
1296660971bb3b8
133864592145ab0
1417031d8559256
159c8be2020d8b
hex4d673aa7437c

85105761010556 has 96 divisors (see below), whose sum is σ = 179708483361792. Its totient is φ = 34742294288640.

The previous prime is 85105761010547. The next prime is 85105761010561. The reversal of 85105761010556 is 65501016750158.

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, 718818395 + ... + 718936781.

It is an arithmetic number, because the mean of its divisors is an integer number (1871963368352).

Almost surely, 285105761010556 is an apocalyptic number.

It is an amenable number.

85105761010556 is an abundant number, since it is smaller than the sum of its proper divisors (94602722351236).

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

85105761010556 is a wasteful number, since it uses less digits than its factorization.

85105761010556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152419 (or 152417 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 50.

The spelling of 85105761010556 in words is "eighty-five trillion, one hundred five billion, seven hundred sixty-one million, ten thousand, five hundred fifty-six".

Divisors: 1 2 4 11 13 22 26 37 44 52 74 143 148 286 407 481 572 814 962 1628 1924 5291 10582 21164 33967 67934 118387 135868 236774 373637 441571 473548 747274 883142 1256779 1302257 1494548 1539031 1766284 2513558 2604514 3078062 4380319 4857281 5027116 5209028 6156124 8760638 9714562 13824569 16338127 16929341 17521276 19429124 27649138 32676254 33858682 48183509 55298276 56944147 65352508 67717364 96367018 113888294 179719397 192734036 227776588 359438794 626385617 718877588 1252771234 2505542468 4021251229 8042502458 16085004916 44233763519 52276265977 88467527038 104552531954 148786295473 176935054076 209105063908 297572590946 575038925747 595145181892 1150077851494 1636649250203 1934221841149 2300155702988 3273298500406 3868443682298 6546597000812 7736887364596 21276440252639 42552880505278 85105761010556