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10097960000 = 2654252449
BaseRepresentation
bin10010110011110001…
…01010010001000000
3222001202002111222112
421121320222101000
5131140034210000
64350002154452
7505144146422
oct113170522100
928052074875
1010097960000
114312042897
121b59952a28
13c4c09857b
146bb182812
153e17ad235
hex259e2a440

10097960000 has 70 divisors (see below), whose sum is σ = 25039758150. Its totient is φ = 4039168000.

The previous prime is 10097959981. The next prime is 10097960017. The reversal of 10097960000 is 6979001.

It can be written as a sum of positive squares in 5 ways, for example, as 5663465536 + 4434494464 = 75256^2 + 66592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 9 ways as a sum of consecutive naturals, for example, 86225 + ... + 166224.

Almost surely, 210097960000 is an apocalyptic number.

10097960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10097960000 is an abundant number, since it is smaller than the sum of its proper divisors (14941798150).

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

10097960000 is an frugal number, since it uses more digits than its factorization.

10097960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252481 (or 252456 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The spelling of 10097960000 in words is "ten billion, ninety-seven million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 252449 504898 1009796 1262245 2019592 2524490 4039184 5048980 6311225 8078368 10097960 12622450 16156736 20195920 25244900 31556125 40391840 50489800 63112250 80783680 100979600 126224500 157780625 201959200 252449000 315561250 403918400 504898000 631122500 1009796000 1262245000 2019592000 2524490000 5048980000 10097960000