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10121674716 = 22323112137477
BaseRepresentation
bin10010110110100110…
…00111111111011100
3222010101201100110100
421123103013333130
5131212122042331
64352210341100
7505552546506
oct113323077734
928111640410
1010121674716
11432447002a
121b6588a790
13c53c7c74a
146c0396d76
153e38e4ae6
hex25b4c7fdc

10121674716 has 72 divisors (see below), whose sum is σ = 26435986304. Its totient is φ = 3261928320.

The previous prime is 10121674697. The next prime is 10121674721. The reversal of 10121674716 is 61747612101.

10121674716 is a `hidden beast` number, since 1 + 0 + 121 + 67 + 471 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1349970 + ... + 1357446.

Almost surely, 210121674716 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 10121674716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217993152).

10121674716 is an abundant number, since it is smaller than the sum of its proper divisors (16314311588).

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

10121674716 is a wasteful number, since it uses less digits than its factorization.

10121674716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10121674716 in words is "ten billion, one hundred twenty-one million, six hundred seventy-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1213 2426 3639 4852 7278 7477 10917 14556 14954 21834 22431 29908 37603 43668 44862 67293 75206 89724 112809 134586 150412 225618 231787 269172 338427 451236 463574 676854 695361 927148 1353708 1390722 2086083 2781444 4172166 8344332 9069601 18139202 27208803 36278404 54417606 81626409 108835212 163252818 281157631 326505636 562315262 843472893 1124630524 1686945786 2530418679 3373891572 5060837358 10121674716