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1009947998376 = 233237379109609
BaseRepresentation
bin11101011001001011001…
…01110111100010101000
310120112212000100002210100
432230211211313202220
5113021333141422001
62051544054345400
7132652311225522
oct16544545674250
93515760302710
101009947998376
1135a353352359
1214389965b260
1374312279805
1436c4b710a12
151b40eca1586
hexeb259778a8

1009947998376 has 48 divisors (see below), whose sum is σ = 2809202210100. Its totient is φ = 327550701312.

The previous prime is 1009947998327. The next prime is 1009947998377. The reversal of 1009947998376 is 6738997499001.

1009947998376 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 479 + 9 + 83 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 897168896100 + 112779102276 = 947190^2 + 335826^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1009947998377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189552141 + ... + 189557468.

Almost surely, 21009947998376 is an apocalyptic number.

It is an amenable number.

1009947998376 is an abundant number, since it is smaller than the sum of its proper divisors (1799254211724).

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

1009947998376 is a wasteful number, since it uses less digits than its factorization.

1009947998376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379109658 (or 379109651 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 1009947998376 in words is "one trillion, nine billion, nine hundred forty-seven million, nine hundred ninety-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 379109609 758219218 1137328827 1516438436 2274657654 3032876872 3411986481 4549315308 6823972962 9098630616 13647945924 14027055533 27295891848 28054111066 42081166599 56108222132 84162333198 112216444264 126243499797 168324666396 252486999594 336649332792 504973999188 1009947998376