Search a number
-
+
642931198663744 = 26712446412
BaseRepresentation
bin1001001000101111100001010…
…1101101100001110001000000
310010022102121210200020110010201
42102023320111231201301000
51133232241043324214434
610155222303140534544
7252265150313012644
oct22213702555416100
93108377720213121
10642931198663744
11176948654511511
12601384596b1454
13217991c8903b13
14b4aa070ccac24
154e4e1b1392614
hex248be15b61c40

642931198663744 has 63 divisors (see below), whose sum is σ = 1294067921523573. Its totient is φ = 316930815129600.

The previous prime is 642931198663657. The next prime is 642931198663751. The reversal of 642931198663744 is 447366891139246.

The square root of 642931198663744 is 25356088.

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

It can be written as a sum of positive squares in only one way, i.e., 480472722017344 + 162458476646400 = 21919688^2 + 12745920^2 .

It is a super-2 number, since 2×6429311986637442 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14402235664 + ... + 14402280304.

Almost surely, 2642931198663744 is an apocalyptic number.

642931198663744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

642931198663744 is the 25356088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642931198663744

642931198663744 is an abundant number, since it is smaller than the sum of its proper divisors (651136722859829).

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

642931198663744 is an frugal number, since it uses more digits than its factorization.

642931198663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89436 (or 44714 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 73.

The spelling of 642931198663744 in words is "six hundred forty-two trillion, nine hundred thirty-one billion, one hundred ninety-eight million, six hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4544 5041 10082 20164 40328 44641 80656 89282 161312 178564 322624 357128 714256 1428512 2857024 3169511 6339022 12678044 25356088 50712176 101424352 202848704 225035281 450070562 900141124 1800282248 1992818881 3600564496 3985637762 7201128992 7971275524 14402257984 15942551048 31885102096 63770204192 127540408384 141490140551 282980281102 565960562204 1131921124408 2263842248816 4527684497632 9055368995264 10045799979121 20091599958242 40183199916484 80366399832968 160732799665936 321465599331872 642931198663744