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76272703040 = 26523103100613
BaseRepresentation
bin100011100001000110…
…1010001011001000000
321021212120112202210102
41013002031101121000
52222201302444130
655012244421532
75340052164422
oct1070215213100
9237776482712
1076272703040
112a38aa52776
12129476a78a8
137266b74661
143997b30812
151eb6164645
hex11c2351640

76272703040 has 112 divisors (see below), whose sum is σ = 191362998528. Its totient is φ = 28898985984.

The previous prime is 76272703009. The next prime is 76272703127. The reversal of 76272703040 is 4030727267.

It is a junction number, because it is equal to n+sod(n) for n = 76272702985 and 76272703003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707774 + ... + 808386.

Almost surely, 276272703040 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 76272703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95681499264).

76272703040 is an abundant number, since it is smaller than the sum of its proper divisors (115090295488).

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

76272703040 is a wasteful number, since it uses less digits than its factorization.

76272703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100756 (or 100746 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 38.

The spelling of 76272703040 in words is "seventy-six billion, two hundred seventy-two million, seven hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 103 115 160 184 206 230 320 368 412 460 515 736 824 920 1030 1472 1648 1840 2060 2369 3296 3680 4120 4738 6592 7360 8240 9476 11845 16480 18952 23690 32960 37904 47380 75808 94760 100613 151616 189520 201226 379040 402452 503065 758080 804904 1006130 1609808 2012260 2314099 3219616 4024520 4628198 6439232 8049040 9256396 10363139 11570495 16098080 18512792 20726278 23140990 32196160 37025584 41452556 46281980 51815695 74051168 82905112 92563960 103631390 148102336 165810224 185127920 207262780 238352197 331620448 370255840 414525560 476704394 663240896 740511680 829051120 953408788 1191760985 1658102240 1906817576 2383521970 3316204480 3813635152 4767043940 7627270304 9534087880 15254540608 19068175760 38136351520 76272703040