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76756079920 = 24513192204443
BaseRepresentation
bin100011101111100000…
…1001101010100110000
321100010021002212012211
41013133001031110300
52224144024024140
655132233101504
75355041625442
oct1073701152460
9240107085184
1076756079920
112a6088959a3
1212a61557894
137313059390
143a01dda492
151ee37e72ea
hex11df04d530

76756079920 has 120 divisors (see below), whose sum is σ = 202833799056. Its totient is φ = 26848958976.

The previous prime is 76756079879. The next prime is 76756079923. The reversal of 76756079920 is 2997065767.

It is not an unprimeable number, because it can be changed into a prime (76756079923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273219 + ... + 477661.

Almost surely, 276756079920 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 76756079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101416899528).

76756079920 is an abundant number, since it is smaller than the sum of its proper divisors (126077719136).

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

76756079920 is a wasteful number, since it uses less digits than its factorization.

76756079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204507 (or 204482 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 58.

The spelling of 76756079920 in words is "seventy-six billion, seven hundred fifty-six million, seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 361 380 494 520 722 760 988 1040 1235 1444 1520 1805 1976 2470 2888 3610 3952 4693 4940 5776 7220 9386 9880 14440 18772 19760 23465 28880 37544 46930 75088 93860 187720 204443 375440 408886 817772 1022215 1635544 2044430 2657759 3271088 3884417 4088860 5315518 7768834 8177720 10631036 13288795 15537668 16355440 19422085 21262072 26577590 31075336 38844170 42524144 50497421 53155180 62150672 73803923 77688340 100994842 106310360 147607846 155376680 201989684 212620720 252487105 295215692 310753360 369019615 403979368 504974210 590431384 738039230 807958736 959450999 1009948420 1180862768 1476078460 1918901998 2019896840 2952156920 3837803996 4039793680 4797254995 5904313840 7675607992 9594509990 15351215984 19189019980 38378039960 76756079920