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76092041344 = 2711175953881
BaseRepresentation
bin100011011011101110…
…0000110100010000000
321021101222121012112111
41012313130012202000
52221314030310334
654542312305104
75332426452064
oct1066734064200
9237358535474
1076092041344
112a2a7a78990
12128b70a2194
1372385cb547
14397bb43aa4
151ea537a064
hex11b7706880

76092041344 has 128 divisors (see below), whose sum is σ = 178069233600. Its totient is φ = 32000409600.

The previous prime is 76092041299. The next prime is 76092041353. The reversal of 76092041344 is 44314029067.

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

It is a junction number, because it is equal to n+sod(n) for n = 76092041297 and 76092041306.

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, 1385284 + ... + 1439164.

Almost surely, 276092041344 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 76092041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89034616800).

76092041344 is an abundant number, since it is smaller than the sum of its proper divisors (101977192256).

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

76092041344 is a wasteful number, since it uses less digits than its factorization.

76092041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53982 (or 53970 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 76092041344 in words is "seventy-six billion, ninety-two million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 59 64 68 88 118 128 136 176 187 236 272 352 374 472 544 649 704 748 944 1003 1088 1298 1408 1496 1888 2006 2176 2596 2992 3776 4012 5192 5984 7552 8024 10384 11033 11968 16048 20768 22066 23936 32096 41536 44132 53881 64192 83072 88264 107762 128384 176528 215524 353056 431048 592691 706112 862096 915977 1185382 1412224 1724192 1831954 2370764 3178979 3448384 3663908 4741528 6357958 6896768 7327816 9483056 10075747 12715916 14655632 18966112 20151494 25431832 29311264 34968769 37932224 40302988 50863664 54042643 58622528 69937538 75864448 80605976 101727328 108085286 117245056 139875076 161211952 203454656 216170572 279750152 322423904 406909312 432341144 559500304 594469073 644847808 864682288 1119000608 1188938146 1289695616 1729364576 2238001216 2377876292 3458729152 4476002432 4755752584 6917458304 9511505168 19023010336 38046020672 76092041344