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920713173444 = 22321944432
BaseRepresentation
bin11010110010111101100…
…10000001100111000100
310021000112002021022112100
431121132302001213010
5110041110033022234
61542545250352100
7123343062563211
oct15313662014704
93230462238470
10920713173444
11325521646659
1212a534b8b630
1368a90b3625c
14327c42b4b08
1518e3abbd399
hexd65ec819c4

920713173444 has 135 divisors (see below), whose sum is σ = 2462213005343. Its totient is φ = 290095204464.

The previous prime is 920713173371. The next prime is 920713173461. The reversal of 920713173444 is 444371317029.

The square root of 920713173444 is 959538.

It is a perfect power (a square), and thus also a powerful number.

920713173444 is a `hidden beast` number, since 9 + 2 + 0 + 7 + 131 + 73 + 444 = 666.

It is a super-2 number, since 2×9207131734442 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 920713173444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2078359087 + ... + 2078359529.

Almost surely, 2920713173444 is an apocalyptic number.

920713173444 is the 959538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920713173444

920713173444 is an abundant number, since it is smaller than the sum of its proper divisors (1541499831899).

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

920713173444 is an frugal number, since it uses more digits than its factorization.

920713173444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 920713173444 in words is "nine hundred twenty billion, seven hundred thirteen million, one hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 443 684 722 886 1083 1329 1444 1772 2166 2658 3249 3987 4332 5316 6498 6859 7974 8417 12996 13718 15948 16834 20577 25251 27436 33668 41154 50502 61731 75753 82308 101004 123462 130321 151506 159923 196249 246924 260642 303012 319846 390963 392498 479769 521284 588747 639692 781926 784996 959538 1172889 1177494 1439307 1563852 1766241 1919076 2345778 2354988 2878614 3038537 3532482 3728731 4691556 5757228 6077074 7064964 7457462 9115611 11186193 12154148 14914924 18231222 22372386 27346833 33558579 36462444 44744772 54693666 57732203 67117158 70845889 109387332 115464406 134234316 141691778 173196609 212537667 230928812 283383556 346393218 425075334 519589827 637613001 692786436 850150668 1039179654 1275226002 1346071891 2078359308 2550452004 2692143782 4038215673 5384287564 8076431346 12114647019 16152862692 24229294038 25575365929 48458588076 51150731858 76726097787 102301463716 153452195574 230178293361 306904391148 460356586722 920713173444