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10376711040 = 27355404537
BaseRepresentation
bin10011010101000000…
…00000101110000000
3222210011121112112010
421222200000232000
5132222414223130
64433400532520
7515100405603
oct115240005600
928704545463
1010376711040
114445423653
122017181140
13c94a66607
147061c433a
1540aec10b0
hex26a800b80

10376711040 has 64 divisors (see below), whose sum is σ = 33075772560. Its totient is φ = 2767122432.

The previous prime is 10376711029. The next prime is 10376711041. The reversal of 10376711040 is 4011767301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×103767110402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10376710989 and 10376711007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10376711041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2700349 + ... + 2704188.

Almost surely, 210376711040 is an apocalyptic number.

10376711040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10376711040 is an abundant number, since it is smaller than the sum of its proper divisors (22699061520).

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

10376711040 is an equidigital number, since it uses as much as digits as its factorization.

10376711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404559 (or 5404547 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 10376711040 in words is "ten billion, three hundred seventy-six million, seven hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5404537 10809074 16213611 21618148 27022685 32427222 43236296 54045370 64854444 81068055 86472592 108090740 129708888 162136110 172945184 216181480 259417776 324272220 345890368 432362960 518835552 648544440 691780736 864725920 1037671104 1297088880 1729451840 2075342208 2594177760 3458903680 5188355520 10376711040