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10001379528 = 2333719733577
BaseRepresentation
bin10010101000010000…
…01111000011001000
3221211000100201111000
421110020033003020
5130440323121103
64332232135000
7502562215620
oct112410170310
927730321430
1010001379528
114272577518
121b31537460
13c3508136a
146ac401880
153d8081aa3
hex25420f0c8

10001379528 has 128 divisors (see below), whose sum is σ = 31912531200. Its totient is φ = 2842947072.

The previous prime is 10001379499. The next prime is 10001379541. The reversal of 10001379528 is 82597310001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10001379492 and 10001379501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281076 + ... + 314652.

It is an arithmetic number, because the mean of its divisors is an integer number (249316650).

Almost surely, 210001379528 is an apocalyptic number.

10001379528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001379528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956265600).

10001379528 is an abundant number, since it is smaller than the sum of its proper divisors (21911151672).

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

10001379528 is a wasteful number, since it uses less digits than its factorization.

10001379528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33796 (or 33786 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 10001379528 its reverse (82597310001), we get a palindrome (92598689529).

The spelling of 10001379528 in words is "ten billion, one million, three hundred seventy-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 197 216 252 378 394 504 591 756 788 1182 1379 1512 1576 1773 2364 2758 3546 4137 4728 5319 5516 7092 8274 10638 11032 12411 14184 16548 21276 24822 33096 33577 37233 42552 49644 67154 74466 99288 100731 134308 148932 201462 235039 268616 297864 302193 402924 470078 604386 705117 805848 906579 940156 1208772 1410234 1813158 1880312 2115351 2417544 2820468 3626316 4230702 5640936 6346053 6614669 7252632 8461404 12692106 13229338 16922808 19844007 25384212 26458676 39688014 46302683 50768424 52917352 59532021 79376028 92605366 119064042 138908049 158752056 178596063 185210732 238128084 277816098 357192126 370421464 416724147 476256168 555632196 714384252 833448294 1111264392 1250172441 1428768504 1666896588 2500344882 3333793176 5000689764 10001379528