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61760883328 = 2729412631543
BaseRepresentation
bin111001100001001111…
…000100101010000000
312220102012222221120021
4321201033010222000
52002441241231303
644212250023224
74314330563224
oct714117045200
9186365887507
1061760883328
1124213454841
12bb77717b14
135a935027a1
142dbc6a6784
151917130ebd
hexe613c4a80

61760883328 has 128 divisors (see below), whose sum is σ = 130967020800. Its totient is φ = 28959006720.

The previous prime is 61760883311. The next prime is 61760883341. The reversal of 61760883328 is 82338806716.

It is a tau number, because it is divible by the number of its divisors (128).

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, 40025725 + ... + 40027267.

It is an arithmetic number, because the mean of its divisors is an integer number (1023179850).

Almost surely, 261760883328 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 61760883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65483510400).

61760883328 is an abundant number, since it is smaller than the sum of its proper divisors (69206137472).

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

61760883328 is a wasteful number, since it uses less digits than its factorization.

61760883328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 61760883328 in words is "sixty-one billion, seven hundred sixty million, eight hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 263 328 464 526 656 928 1052 1189 1312 1543 1856 2104 2378 2624 3086 3712 4208 4756 5248 6172 7627 8416 9512 10783 12344 15254 16832 19024 21566 24688 30508 33664 38048 43132 44747 49376 61016 63263 76096 86264 89494 98752 122032 126526 152192 172528 178988 197504 244064 253052 312707 345056 357976 405809 488128 506104 625414 690112 715952 811618 976256 1012208 1250828 1380224 1431904 1623236 1834627 2024416 2501656 2863808 3246472 3669254 4048832 5003312 5727616 6492944 7338508 8097664 10006624 11768461 12985888 14677016 16638169 20013248 23536922 25971776 29354032 33276338 40026496 47073844 51943552 58708064 66552676 94147688 117416128 133105352 188295376 234832256 266210704 376590752 482506901 532421408 753181504 965013802 1064842816 1506363008 1930027604 2129685632 3860055208 7720110416 15440220832 30880441664 61760883328