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2970693504 = 27328331069
BaseRepresentation
bin1011000100010001…
…0010111110000000
321200000212212101100
42301010102332000
522040444143004
61210440134400
7133421323002
oct26104227600
97600785340
102970693504
111294973aa9
126aaa67400
133845c310c
14202778372
15125c05739
hexb1112f80

2970693504 has 96 divisors (see below), whose sum is σ = 8651752200. Its totient is φ = 978269184.

The previous prime is 2970693469. The next prime is 2970693511. The reversal of 2970693504 is 4053960792.

It is a happy number.

2970693504 is a `hidden beast` number, since 297 + 0 + 6 + 9 + 350 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2970693504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80082 + ... + 111150.

Almost surely, 22970693504 is an apocalyptic number.

2970693504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325876100).

2970693504 is an abundant number, since it is smaller than the sum of its proper divisors (5681058696).

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

2970693504 is a wasteful number, since it uses less digits than its factorization.

2970693504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31172 (or 31157 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2970693504 is about 54504.0686921628. The cubic root of 2970693504 is about 1437.5378295174.

The spelling of 2970693504 in words is "two billion, nine hundred seventy million, six hundred ninety-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1992 2656 2988 3984 5312 5976 7968 10624 11952 15936 23904 31069 31872 47808 62138 93207 95616 124276 186414 248552 279621 372828 497104 559242 745656 994208 1118484 1491312 1988416 2236968 2578727 2982624 3976832 4473936 5157454 5965248 7736181 8947872 10314908 11930496 15472362 17895744 20629816 23208543 30944724 35791488 41259632 46417086 61889448 82519264 92834172 123778896 165038528 185668344 247557792 330077056 371336688 495115584 742673376 990231168 1485346752 2970693504