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2672079744 = 27319366239
BaseRepresentation
bin1001111101000100…
…1011001110000000
320220012222201022110
42133101023032000
520433023022434
61121051535320
7123134205645
oct23721131600
96805881273
102672079744
111151357074
12626a5a540
1333778c299
141b4c45dcc
151098bc4e9
hex9f44b380

2672079744 has 64 divisors (see below), whose sum is σ = 7471296000. Its totient is φ = 843812352.

The previous prime is 2672079719. The next prime is 2672079769. The reversal of 2672079744 is 4479702762.

It is an interprime number because it is at equal distance from previous prime (2672079719) and next prime (2672079769).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2672079693 and 2672079702.

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, 175824 + ... + 190415.

It is an arithmetic number, because the mean of its divisors is an integer number (116739000).

Almost surely, 22672079744 is an apocalyptic number.

2672079744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2672079744 is an abundant number, since it is smaller than the sum of its proper divisors (4799216256).

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

2672079744 is a wasteful number, since it uses less digits than its factorization.

2672079744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366275 (or 366263 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 2672079744 is about 51692.1632745235. The cubic root of 2672079744 is about 1387.6602190764.

The spelling of 2672079744 in words is "two billion, six hundred seventy-two million, seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 366239 732478 1098717 1464956 2197434 2929912 4394868 5859824 6958541 8789736 11719648 13917082 17579472 20875623 23439296 27834164 35158944 41751246 46878592 55668328 70317888 83502492 111336656 140635776 167004984 222673312 334009968 445346624 668019936 890693248 1336039872 2672079744