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10109393632 = 251331799923
BaseRepresentation
bin10010110101001000…
…10001101011100000
3222002112121101222101
421122210101223200
5131201001044012
64351051220144
7505343266552
oct113244215340
928075541871
1010109393632
114318542078
121b61747654
13c5156c830
146bc8bb4d2
153e27bad57
hex25a911ae0

10109393632 has 96 divisors (see below), whose sum is σ = 22407598080. Its totient is φ = 4457756160.

The previous prime is 10109393563. The next prime is 10109393687. The reversal of 10109393632 is 23639390101.

It is a junction number, because it is equal to n+sod(n) for n = 10109393591 and 10109393600.

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, 1013823 + ... + 1023745.

It is an arithmetic number, because the mean of its divisors is an integer number (233412480).

Almost surely, 210109393632 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 10109393632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203799040).

10109393632 is an abundant number, since it is smaller than the sum of its proper divisors (12298204448).

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

10109393632 is a wasteful number, since it uses less digits than its factorization.

10109393632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10056 (or 10048 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The spelling of 10109393632 in words is "ten billion, one hundred nine million, three hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 79 104 124 158 208 248 316 403 416 496 632 806 992 1027 1264 1612 2054 2449 2528 3224 4108 4898 6448 8216 9796 9923 12896 16432 19592 19846 31837 32864 39184 39692 63674 78368 79384 127348 128999 158768 254696 257998 307613 317536 509392 515996 615226 783917 1018784 1031992 1230452 1567834 2063984 2460904 3135668 3998969 4127968 4921808 6271336 7997938 9843616 10190921 12542672 15995876 20381842 24301427 25085344 31991752 40763684 48602854 63983504 81527368 97205708 127967008 163054736 194411416 315918551 326109472 388822832 631837102 777645664 1263674204 2527348408 5054696816 10109393632