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10406943952770 = 2354361132252433
BaseRepresentation
bin1001011101110000111000…
…1100101000111110000010
31100211220010211001222021010
42113130032030220332002
52331001410122442040
634044514542141350
72122606526022501
oct227341614507602
940756124058233
1010406943952770
113352618609962
121200b28581856
135a64a82a7a51
1427d9ad61c838
15130a96283e80
hex9770e328f82

10406943952770 has 64 divisors (see below), whose sum is σ = 25976494076544. Its totient is φ = 2666209029120.

The previous prime is 10406943952697. The next prime is 10406943952793. The reversal of 10406943952770 is 7725934960401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10406943952770.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66047527 + ... + 66204906.

It is an arithmetic number, because the mean of its divisors is an integer number (405882719946).

Almost surely, 210406943952770 is an apocalyptic number.

10406943952770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10406943952770 is an abundant number, since it is smaller than the sum of its proper divisors (15569550123774).

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

10406943952770 is a wasteful number, since it uses less digits than its factorization.

10406943952770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132252547.

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 10406943952770 in words is "ten trillion, four hundred six billion, nine hundred forty-three million, nine hundred fifty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 43 61 86 122 129 183 215 258 305 366 430 610 645 915 1290 1830 2623 5246 7869 13115 15738 26230 39345 78690 132252433 264504866 396757299 661262165 793514598 1322524330 1983786495 3967572990 5686854619 8067398413 11373709238 16134796826 17060563857 24202195239 28434273095 34121127714 40336992065 48404390478 56868546190 80673984130 85302819285 121010976195 170605638570 242021952390 346898131759 693796263518 1040694395277 1734490658795 2081388790554 3468981317590 5203471976385 10406943952770