Search a number
-
+
10021066216524 = 2233119199178717
BaseRepresentation
bin1001000111010011011000…
…0101111001010001001100
31022111000010100000221012000
42101310312011321101030
52303141120422412044
633151340403112300
72052666235260216
oct221646605712114
938430110027160
1010021066216524
113213a016a3320
12115a196972690
13578ca06b59bc
14269044c7b5b6
15125a0e5bed69
hex91d3617944c

10021066216524 has 96 divisors (see below), whose sum is σ = 28373253081600. Its totient is φ = 3033382063680.

The previous prime is 10021066216453. The next prime is 10021066216529. The reversal of 10021066216524 is 42561266012001.

10021066216524 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 0 + 6 + 621 + 6 + 5 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10021066216529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3497587 + ... + 5681130.

It is an arithmetic number, because the mean of its divisors is an integer number (295554719600).

Almost surely, 210021066216524 is an apocalyptic number.

It is an amenable number.

10021066216524 is an abundant number, since it is smaller than the sum of its proper divisors (18352186865076).

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

10021066216524 is a wasteful number, since it uses less digits than its factorization.

10021066216524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179660 (or 9179652 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10021066216524 in words is "ten trillion, twenty-one billion, sixty-six million, two hundred sixteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 919 1188 1838 2757 3676 5514 8271 10109 11028 16542 20218 24813 30327 33084 40436 49626 60654 90981 99252 121308 181962 272943 363924 545886 1091772 9178717 18357434 27536151 36714868 55072302 82608453 100965887 110144604 165216906 201931774 247825359 302897661 330433812 403863548 495650718 605795322 908692983 991301436 1211590644 1817385966 2726078949 3634771932 5452157898 8435240923 10904315796 16870481846 25305722769 33740963692 50611445538 75917168307 92787650153 101222891076 151834336614 185575300306 227751504921 278362950459 303668673228 371150600612 455503009842 556725900918 835088851377 911006019684 1113451801836 1670177702754 2505266554131 3340355405508 5010533108262 10021066216524