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37970419104 = 25321131166741
BaseRepresentation
bin100011010111001101…
…101001110110100000
310122000020001010220200
4203113031221312200
51110230411402404
625235433505200
72512641144222
oct432715516640
9118006033820
1037970419104
1115115347962
127438272200
13377174bc17
141ba2c12412
15ec372e839
hex8d7369da0

37970419104 has 72 divisors (see below), whose sum is σ = 108934033572. Its totient is φ = 12544788480.

The previous prime is 37970419051. The next prime is 37970419111. The reversal of 37970419104 is 40191407973.

37970419104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37954832400 + 15586704 = 194820^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 37970419104.

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, 550827 + ... + 615914.

Almost surely, 237970419104 is an apocalyptic number.

It is an amenable number.

37970419104 is an abundant number, since it is smaller than the sum of its proper divisors (70963614468).

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

37970419104 is a wasteful number, since it uses less digits than its factorization.

37970419104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166870 (or 1166859 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 37970419104 in words is "thirty-seven billion, nine hundred seventy million, four hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 16272 32544 1166741 2333482 3500223 4666964 7000446 9333928 10500669 14000892 18667856 21001338 28001784 37335712 42002676 56003568 84005352 112007136 131841733 168010704 263683466 336021408 395525199 527366932 791050398 1054733864 1186575597 1582100796 2109467728 2373151194 3164201592 4218935456 4746302388 6328403184 9492604776 12656806368 18985209552 37970419104