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10410340772 = 22132953130253
BaseRepresentation
bin10011011001000000…
…10011000110100100
3222212111220002211202
421230200103012210
5132310021401042
64441001422032
7515656302506
oct115440230644
928774802752
1010410340772
114462403117
12202649a918
13c9ba0c770
1470a859d76
1540de15632
hex26c8131a4

10410340772 has 48 divisors (see below), whose sum is σ = 20679125040. Its totient is φ = 4551525888.

The previous prime is 10410340763. The next prime is 10410340783. The reversal of 10410340772 is 27704301401.

It can be written as a sum of positive squares in 8 ways, for example, as 216207616 + 10194133156 = 14704^2 + 100966^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14798 + ... + 145050.

It is an arithmetic number, because the mean of its divisors is an integer number (430815105).

Almost surely, 210410340772 is an apocalyptic number.

It is an amenable number.

10410340772 is a deficient number, since it is larger than the sum of its proper divisors (10268784268).

10410340772 is a wasteful number, since it uses less digits than its factorization.

10410340772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130352 (or 130350 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The spelling of 10410340772 in words is "ten billion, four hundred ten million, three hundred forty thousand, seven hundred seventy-two".

Divisors: 1 2 4 13 26 29 52 53 58 106 116 212 377 689 754 1378 1508 1537 2756 3074 6148 19981 39962 79924 130253 260506 521012 1693289 3386578 3777337 6773156 6903409 7554674 13806818 15109348 27613636 49105381 89744317 98210762 179488634 196421524 200198861 358977268 400397722 800795444 2602585193 5205170386 10410340772