Search a number
-
+
21649150474656 = 2531531147297181
BaseRepresentation
bin1001110110000100101011…
…11011000111100110100000
32211122122020112000210120020
410323002111323013212200
510314144430010142111
6114013252112113440
74363046062535265
oct473022573074640
984578215023506
1021649150474656
116997398061611
122517900835880
13c10676c76573
1454bb784db26c
15278226453906
hex13b095ec79a0

21649150474656 has 48 divisors (see below), whose sum is σ = 56866139271648. Its totient is φ = 7211669932800.

The previous prime is 21649150474639. The next prime is 21649150474657. The reversal of 21649150474656 is 65647405194612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×216491504746562 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21649150474656.

It is not an unprimeable number, because it can be changed into a prime (21649150474657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73501615 + ... + 73795566.

It is an arithmetic number, because the mean of its divisors is an integer number (1184711234826).

Almost surely, 221649150474656 is an apocalyptic number.

It is an amenable number.

21649150474656 is an abundant number, since it is smaller than the sum of its proper divisors (35216988796992).

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

21649150474656 is a wasteful number, since it uses less digits than its factorization.

21649150474656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147298725 (or 147298717 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 21649150474656 in words is "twenty-one trillion, six hundred forty-nine billion, one hundred fifty million, four hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1531 3062 4593 6124 9186 12248 18372 24496 36744 48992 73488 146976 147297181 294594362 441891543 589188724 883783086 1178377448 1767566172 2356754896 3535132344 4713509792 7070264688 14140529376 225511984111 451023968222 676535952333 902047936444 1353071904666 1804095872888 2706143809332 3608191745776 5412287618664 7216383491552 10824575237328 21649150474656