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136950961280 = 275747650413
BaseRepresentation
bin111111110001011101…
…0011101010010000000
3111002111100101122221012
41333202322131102000
54220433421230110
6142525302220052
712615525651410
oct1774272352200
9432440348835
10136950961280
115309827a231
1222660724628
13cbb6c9aa83
1468b26dc640
1538681e2905
hex1fe2e9d480

136950961280 has 128 divisors (see below), whose sum is σ = 382131233280. Its totient is φ = 45955510272.

The previous prime is 136950961243. The next prime is 136950961297. The reversal of 136950961280 is 82169059631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 114647 + ... + 535766.

It is an arithmetic number, because the mean of its divisors is an integer number (2985400260).

Almost surely, 2136950961280 is an apocalyptic number.

136950961280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136950961280 is an abundant number, since it is smaller than the sum of its proper divisors (245180272000).

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

136950961280 is an equidigital number, since it uses as much as digits as its factorization.

136950961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650486 (or 650474 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 136950961280 in words is "one hundred thirty-six billion, nine hundred fifty million, nine hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 280 320 329 376 448 470 560 640 658 752 896 940 1120 1316 1504 1645 1880 2240 2632 3008 3290 3760 4480 5264 6016 6580 7520 10528 13160 15040 21056 26320 30080 42112 52640 105280 210560 650413 1300826 2601652 3252065 4552891 5203304 6504130 9105782 10406608 13008260 18211564 20813216 22764455 26016520 30569411 36423128 41626432 45528910 52033040 61138822 72846256 83252864 91057820 104066080 122277644 145692512 152847055 182115640 208132160 213985877 244555288 291385024 305694110 364231280 416264320 427971754 489110576 582770048 611388220 728462560 855943508 978221152 1069929385 1222776440 1456925120 1711887016 1956442304 2139858770 2445552880 2913850240 3423774032 3912884608 4279717540 4891105760 6847548064 8559435080 9782211520 13695096128 17118870160 19564423040 27390192256 34237740320 68475480640 136950961280