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61627570112 = 2647892111091
BaseRepresentation
bin111001011001010010…
…100001011111000000
312220001221010221012202
4321121102201133000
52002203124220422
644151124412332
74311121463033
oct713122413700
9186057127182
1061627570112
112415517a629
12bb3ab470a8
135a719c6c24
142da8ac301a
15190a59ab92
hexe594a17c0

61627570112 has 112 divisors (see below), whose sum is σ = 127012354560. Its totient is φ = 29650790400.

The previous prime is 61627570063. The next prime is 61627570127. The reversal of 61627570112 is 21107572616.

It is a congruent number.

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, 56486687 + ... + 56487777.

It is an arithmetic number, because the mean of its divisors is an integer number (1134038880).

Almost surely, 261627570112 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 61627570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63506177280).

61627570112 is an abundant number, since it is smaller than the sum of its proper divisors (65384784448).

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

61627570112 is a wasteful number, since it uses less digits than its factorization.

61627570112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 61627570112 in words is "sixty-one billion, six hundred twenty-seven million, five hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 89 94 178 188 211 356 376 422 712 752 844 1091 1424 1504 1688 2182 2848 3008 3376 4183 4364 5696 6752 8366 8728 9917 13504 16732 17456 18779 19834 33464 34912 37558 39668 51277 66928 69824 75116 79336 97099 102554 133856 150232 158672 194198 205108 230201 267712 300464 317344 388396 410216 460402 600928 634688 776792 820432 882613 920804 1201856 1553584 1640864 1765226 1841608 3107168 3281728 3530452 3683216 4563653 6214336 7060904 7366432 9127306 10819447 14121808 14732864 18254612 20487889 21638894 28243616 36509224 40975778 43277788 56487232 73018448 81951556 86555576 146036896 163903112 173111152 292073792 327806224 346222304 655612448 692444608 962930783 1311224896 1925861566 3851723132 7703446264 15406892528 30813785056 61627570112