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10009519312 = 2413477871301
BaseRepresentation
bin10010101001001110…
…10010010011010000
3221211120200021011111
421110213102103100
5130444414104222
64333122423104
7503021340022
oct112447222320
927746607144
1010009519312
114277127011
121b34201a94
13c369712c0
146ad520012
153d8b3d777
hex2549d24d0

10009519312 has 80 divisors (see below), whose sum is σ = 21373132032. Its totient is φ = 4512268800.

The previous prime is 10009519309. The next prime is 10009519357. The reversal of 10009519312 is 21391590001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7693062 + ... + 7694362.

Almost surely, 210009519312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10009519312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686566016).

10009519312 is an abundant number, since it is smaller than the sum of its proper divisors (11363612720).

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

10009519312 is a wasteful number, since it uses less digits than its factorization.

10009519312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 31.

The spelling of 10009519312 in words is "ten billion, nine million, five hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 787 1222 1301 1574 2444 2602 3148 4888 5204 6296 9776 10231 10408 12592 16913 20462 20816 33826 36989 40924 61147 67652 73978 81848 122294 135304 147956 163696 244588 270608 295912 480857 489176 591824 794911 961714 978352 1023887 1589822 1923428 2047774 3179644 3846856 4095548 6359288 7693712 8191096 12718576 13310531 16382192 26621062 48122689 53242124 96245378 106484248 192490756 212968496 384981512 625594957 769963024 1251189914 2502379828 5004759656 10009519312