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11863726029376 = 26132331192
BaseRepresentation
bin1010110010100011110100…
…1011001111101001000000
31120000011100110120010110021
42230220331023033221000
53023333402330420001
641122042005543224
72333061122250424
oct254507513175100
946004313503407
1011863726029376
113864418069791
1213b7329a14b14
1368098aa66100
142d02c9188b84
151589093a7ba1
hexaca3d2cfa40

11863726029376 has 63 divisors (see below), whose sum is σ = 25493082671721. Its totient is φ = 5475400529664.

The previous prime is 11863726029359. The next prime is 11863726029383. The reversal of 11863726029376 is 67392062736811.

It is a happy number.

The square root of 11863726029376 is 3444376.

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., 1754989057600 + 10108736971776 = 1324760^2 + 3179424^2 .

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, 358198545 + ... + 358231663.

Almost surely, 211863726029376 is an apocalyptic number.

11863726029376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11863726029376 is the 3444376-th square number.

It is an amenable number.

11863726029376 is an abundant number, since it is smaller than the sum of its proper divisors (13629356642345).

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

11863726029376 is an frugal number, since it uses more digits than its factorization.

11863726029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66276 (or 33134 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 11863726029376 in words is "eleven trillion, eight hundred sixty-three billion, seven hundred twenty-six million, twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 33119 66238 132476 264952 430547 529904 861094 1059808 1722188 2119616 3444376 5597111 6888752 11194222 13777504 22388444 27555008 44776888 89553776 179107552 358215104 1096868161 2193736322 4387472644 8774945288 14259286093 17549890576 28518572186 35099781152 57037144372 70199562304 114074288744 185370719209 228148577488 370741438418 456297154976 741482876836 912594309952 1482965753672 2965931507344 5931863014688 11863726029376