Search a number
-
+
76221056640 = 2735192089393
BaseRepresentation
bin100011011111100100…
…0010000011010000000
321021201222100212020210
41012333020100122000
52222100042303030
655003201434120
75335554202011
oct1067710203200
9237658325223
1076221056640
112a363887aa3
121293233b940
137259260a61
143990d29008
151eb1861bb0
hex11bf210680

76221056640 has 128 divisors (see below), whose sum is σ = 255741825600. Its totient is φ = 19255836672.

The previous prime is 76221056617. The next prime is 76221056647. The reversal of 76221056640 is 4665012267.

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

It is not an unprimeable number, because it can be changed into a prime (76221056647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008217 + ... + 1081176.

Almost surely, 276221056640 is an apocalyptic number.

It is an amenable number.

76221056640 is an abundant number, since it is smaller than the sum of its proper divisors (179520768960).

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

76221056640 is a wasteful number, since it uses less digits than its factorization.

76221056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089434 (or 2089422 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 76221056640 in words is "seventy-six billion, two hundred twenty-one million, fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 36480 2089393 4178786 6268179 8357572 10446965 12536358 16715144 20893930 25072716 31340895 33430288 39698467 41787860 50145432 62681790 66860576 79396934 83575720 100290864 119095401 125363580 133721152 158793868 167151440 198492335 200581728 238190802 250727160 267442304 317587736 334302880 396984670 401163456 476381604 501454320 595477005 635175472 668605760 793969340 802326912 952763208 1002908640 1190954010 1270350944 1337211520 1587938680 1905526416 2005817280 2381908020 2540701888 3175877360 3811052832 4011634560 4763816040 5081403776 6351754720 7622105664 9527632080 12703509440 15244211328 19055264160 25407018880 38110528320 76221056640