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61001105611356 = 2234248267758357
BaseRepresentation
bin11011101111010111011010…
…01110110001101001011100
321222222122111221012211010000
431313223231032301221130
530443420231014030411
6333423304314014300
715564120156301251
oct1567535516615134
9258878457184100
1061001105611356
1118489472905199
126a1250aa17390
1328064c1c10b21
14110c67d93d428
1570bba340c956
hex377aed3b1a5c

61001105611356 has 60 divisors (see below), whose sum is σ = 159469792280568. Its totient is φ = 20333593155168.

The previous prime is 61001105611349. The next prime is 61001105611393. The reversal of 61001105611356 is 65311650110016.

61001105611356 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 1 + 1 + 0 + 5 + 611 + 35 + 6 = 666.

It is a super-2 number, since 2×610011056113562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61001105611356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80059330 + ... + 80817686.

Almost surely, 261001105611356 is an apocalyptic number.

It is an amenable number.

61001105611356 is an abundant number, since it is smaller than the sum of its proper divisors (98468686669212).

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

61001105611356 is a wasteful number, since it uses less digits than its factorization.

61001105611356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006640 (or 1006629 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 61001105611356 in words is "sixty-one trillion, one billion, one hundred five million, six hundred eleven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 248267 496534 744801 758357 993068 1489602 1516714 2234403 2275071 2979204 3033428 4468806 4550142 6703209 6825213 8937612 9100284 13406418 13650426 20109627 20475639 26812836 27300852 40219254 40951278 61426917 80438508 81902556 122853834 245707668 188275017319 376550034638 564825051957 753100069276 1129650103914 1694475155871 2259300207828 3388950311742 5083425467613 6777900623484 10166850935226 15250276402839 20333701870452 30500552805678 61001105611356