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2261230600640 = 26511798131583
BaseRepresentation
bin100000111001111011110…
…110001100000111000000
322000011122001022022221012
4200321323312030013000
5244022000013210030
64450443415220052
7322240254654524
oct40717366140700
98004561268835
102261230600640
117a1a897a6570
123062a9677628
1313530525a38b
147b630a3bd84
153dc46c37095
hex20e7bd8c1c0

2261230600640 has 112 divisors (see below), whose sum is σ = 5948416327680. Its totient is φ = 811857146880.

The previous prime is 2261230600637. The next prime is 2261230600661. The reversal of 2261230600640 is 460060321622.

It is a super-2 number, since 2×22612306006402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2261230600597 and 2261230600606.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3787712 + ... + 4343871.

Almost surely, 22261230600640 is an apocalyptic number.

2261230600640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261230600640 is an abundant number, since it is smaller than the sum of its proper divisors (3687185727040).

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

2261230600640 is a wasteful number, since it uses less digits than its factorization.

2261230600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131690 (or 8131680 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 2261230600640 in words is "two trillion, two hundred sixty-one billion, two hundred thirty million, six hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 79 80 88 110 158 160 176 220 316 320 352 395 440 632 704 790 869 880 1264 1580 1738 1760 2528 3160 3476 3520 4345 5056 6320 6952 8690 12640 13904 17380 25280 27808 34760 55616 69520 139040 278080 8131583 16263166 32526332 40657915 65052664 81315830 89447413 130105328 162631660 178894826 260210656 325263320 357789652 447237065 520421312 642395057 650526640 715579304 894474130 1284790114 1301053280 1431158608 1788948260 2569580228 2602106560 2862317216 3211975285 3577896520 5139160456 5724634432 6423950570 7066345627 7155793040 10278320912 12847901140 14132691254 14311586080 20556641824 25695802280 28265382508 28623172160 35331728135 41113283648 51391604560 56530765016 70663456270 102783209120 113061530032 141326912540 205566418240 226123060064 282653825080 452246120128 565307650160 1130615300320 2261230600640