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10270388016960 = 263510698320851
BaseRepresentation
bin1001010101110100001011…
…0101000101011101000000
31100100211122222222200101220
42111131002311011131000
52321232223313020320
633502052350355040
72110003534513611
oct225350265053500
940324588880356
1010270388016960
1132aa713318165
12119a5781bba80
135966550c9276
1427713758bc08
1512c252ac0e40
hex95742d45740

10270388016960 has 56 divisors (see below), whose sum is σ = 32608481956896. Its totient is φ = 2738770137600.

The previous prime is 10270388016937. The next prime is 10270388016983. The reversal of 10270388016960 is 6961088307201.

It is an interprime number because it is at equal distance from previous prime (10270388016937) and next prime (10270388016983).

It is a super-2 number, since 2×102703880169602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5349159466 + ... + 5349161385.

Almost surely, 210270388016960 is an apocalyptic number.

10270388016960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270388016960 is an abundant number, since it is smaller than the sum of its proper divisors (22338093939936).

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

10270388016960 is a wasteful number, since it uses less digits than its factorization.

10270388016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698320871 (or 10698320861 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 10270388016960 in words is "ten trillion, two hundred seventy billion, three hundred eighty-eight million, sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10698320851 21396641702 32094962553 42793283404 53491604255 64189925106 85586566808 106983208510 128379850212 160474812765 171173133616 213966417020 256759700424 320949625530 342346267232 427932834040 513519400848 641899251060 684692534464 855865668080 1027038801696 1283798502120 1711731336160 2054077603392 2567597004240 3423462672320 5135194008480 10270388016960