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136264446057984 = 293373684765071
BaseRepresentation
bin11110111110111010001001…
…111001110001111000000000
3122212110202100112110110212220
4132332322021321301320000
5120330024041142323414
61201451004453451040
740462532000501556
oct3676721171617000
9585422315413786
10136264446057984
113a466477436022
1213348b67340a80
135b058b382c36a
14259133d1c9bd6
1510b483e6ddca9
hex7bee89e71e00

136264446057984 has 160 divisors (see below), whose sum is σ = 372844119115776. Its totient is φ = 44191995863040.

The previous prime is 136264446057959. The next prime is 136264446057991. The reversal of 136264446057984 is 489750644462631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094056169 + ... + 2094121239.

It is a 1-persistent number, because it is pandigital, but 2⋅136264446057984 = 272528892115968 is not.

Almost surely, 2136264446057984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136264446057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186422059557888).

136264446057984 is an abundant number, since it is smaller than the sum of its proper divisors (236579673057792).

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

136264446057984 is an equidigital number, since it uses as much as digits as its factorization.

136264446057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101976 (or 101960 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 69.

The spelling of 136264446057984 in words is "one hundred thirty-six trillion, two hundred sixty-four billion, four hundred forty-six million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 3552 4736 7104 9472 14208 18944 28416 36847 56832 65071 73694 110541 130142 147388 195213 221082 260284 294776 390426 442164 520568 589552 780852 884328 1041136 1179104 1363339 1561704 1768656 2082272 2358208 2407627 2726678 3123408 3537312 4090017 4164544 4716416 4815254 5453356 6246816 7074624 7222881 8180034 8329088 9432832 9630508 10906712 12493632 14149248 14445762 16360068 16658176 18865664 19261016 21813424 24987264 28298496 28891524 32720136 33316352 38522032 43626848 49974528 56596992 57783048 65440272 77044064 87253696 99949056 115566096 130880544 154088128 174507392 231132192 261761088 308176256 349014784 462264384 523522176 616352512 698029568 924528768 1047044352 1232705024 1849057536 2094088704 2397671137 3698115072 4795342274 7193013411 9590684548 14386026822 19181369096 28772053644 38362738192 57544107288 76725476384 88713832069 115088214576 153450952768 177427664138 230176429152 266141496207 306901905536 354855328276 460352858304 532282992414 613803811072 709710656552 920705716608 1064565984828 1227607622144 1419421313104 1841411433216 2129131969656 2838842626208 3682822866432 4258263939312 5677685252416 8516527878624 11355370504832 17033055757248 22710741009664 34066111514496 45421482019328 68132223028992 136264446057984