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135950013796 = 221923123132
BaseRepresentation
bin111111010011101000…
…0001001010101100100
3110222220120221021010011
41332213100021111210
54211411200420141
6142242104340004
712551653023232
oct1764720112544
9428816837104
10135950013796
1152724269603
1222421474604
13ca877bb55c
1468197c5952
15380a3c5881
hex1fa7409564

135950013796 has 81 divisors (see below), whose sum is σ = 260285915673. Its totient is φ = 62120934720.

The previous prime is 135950013763. The next prime is 135950013803. The reversal of 135950013796 is 697310059531.

The square root of 135950013796 is 368714.

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., 867302500 + 135082711296 = 29450^2 + 367536^2 .

It is a super-2 number, since 2×1359500137962 (a number of 23 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 26 ways as a sum of consecutive naturals, for example, 434344936 + ... + 434345248.

Almost surely, 2135950013796 is an apocalyptic number.

135950013796 is the 368714-th square number.

It is an amenable number.

135950013796 is a deficient number, since it is larger than the sum of its proper divisors (124335901877).

135950013796 is an equidigital number, since it uses as much as digits as its factorization.

135950013796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 49.

Multiplying 135950013796 by its sum of digits (49), we get a square (6661550676004 = 25809982).

The spelling of 135950013796 in words is "one hundred thirty-five billion, nine hundred fifty million, thirteen thousand, seven hundred ninety-six".

Divisors: 1 2 4 19 31 38 62 76 124 313 361 589 626 722 961 1178 1252 1444 1922 2356 3844 5947 9703 11191 11894 18259 19406 22382 23788 36518 38812 44764 73036 97969 112993 184357 195938 225986 300793 346921 368714 391876 451972 601586 693842 737428 1203172 1387684 1861411 3037039 3502783 3722822 5715067 6074078 7005566 7445644 11430134 12148156 14011132 22860268 35366809 57703741 70733618 94148209 108586273 115407482 141467236 188296418 217172546 230814964 376592836 434345092 1096371079 1788815971 2192742158 3577631942 4385484316 7155263884 33987503449 67975006898 135950013796