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76738669952 = 277769111373
BaseRepresentation
bin100011101110111111…
…0110010110110000000
321100002001100100020012
41013131332302312000
52224130044414302
655130412004052
75354440634510
oct1073576626600
9240061310205
1076738669952
112a5a9a8459a
1212a57760628
13730c571b19
1439dd987840
151ee2008a52
hex11ddfb2d80

76738669952 has 64 divisors (see below), whose sum is σ = 174946279200. Its totient is φ = 32844939264.

The previous prime is 76738669913. The next prime is 76738669981. The reversal of 76738669952 is 25996683767.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633338 + ... + 744710.

Almost surely, 276738669952 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 76738669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87473139600).

76738669952 is an abundant number, since it is smaller than the sum of its proper divisors (98207609248).

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

76738669952 is a wasteful number, since it uses less digits than its factorization.

76738669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112163 (or 112151 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 68.

The spelling of 76738669952 in words is "seventy-six billion, seven hundred thirty-eight million, six hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 769 896 1538 3076 5383 6152 10766 12304 21532 24608 43064 49216 86128 98432 111373 172256 222746 344512 445492 689024 779611 890984 1559222 1781968 3118444 3563936 6236888 7127872 12473776 14255744 24947552 49895104 85645837 99790208 171291674 342583348 599520859 685166696 1199041718 1370333392 2398083436 2740666784 4796166872 5481333568 9592333744 10962667136 19184667488 38369334976 76738669952