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10098497089152 = 27328766056501
BaseRepresentation
bin1001001011110011110101…
…0101001110111010000000
31022202101222121212210222100
42102330331111032322000
52310423210223323102
633251104023310400
72061410112652443
oct222747525167200
938671877783870
1010098497089152
113243826380a3a
1211711a62ab400
13583390496ab4
1426caac72d65a
15127a4225aa1c
hex92f3d54ee80

10098497089152 has 48 divisors (see below), whose sum is σ = 29059477304130. Its totient is φ = 3366165696000.

The previous prime is 10098497089081. The next prime is 10098497089169. The reversal of 10098497089152 is 25198079489001.

10098497089152 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 497 + 0 + 8 + 91 + 52 = 666.

10098497089152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9512684421696 + 585812667456 = 3084264^2 + 765384^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100984970891522 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10098497089152.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4383027099 + ... + 4383029402.

Almost surely, 210098497089152 is an apocalyptic number.

10098497089152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10098497089152 is an abundant number, since it is smaller than the sum of its proper divisors (18960980214978).

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

10098497089152 is an equidigital number, since it uses as much as digits as its factorization.

10098497089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766056521 (or 8766056506 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 10098497089152 in words is "ten trillion, ninety-eight billion, four hundred ninety-seven million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8766056501 17532113002 26298169503 35064226004 52596339006 70128452008 78894508509 105192678012 140256904016 157789017018 210385356024 280513808032 315578034036 420770712048 561027616064 631156068072 841541424096 1122055232128 1262312136144 1683082848192 2524624272288 3366165696384 5049248544576 10098497089152