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136204542560 = 2552933598093
BaseRepresentation
bin111111011011001101…
…1000110001001100000
3111000120022212122221102
41332312123012021200
54212421330330220
6142323240013532
712561163336502
oct1766633061140
9430508778842
10136204542560
1152844a05859
12224927612a8
13cac84583a8
14684151dd72
153822901775
hex1fb66c6260

136204542560 has 96 divisors (see below), whose sum is σ = 323820866880. Its totient is φ = 54137939968.

The previous prime is 136204542547. The next prime is 136204542583. The reversal of 136204542560 is 65245402631.

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, 16825874 + ... + 16833966.

It is an arithmetic number, because the mean of its divisors is an integer number (3373134030).

Almost surely, 2136204542560 is an apocalyptic number.

136204542560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136204542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161910433440).

136204542560 is an abundant number, since it is smaller than the sum of its proper divisors (187616324320).

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

136204542560 is a wasteful number, since it uses less digits than its factorization.

136204542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 136204542560 in words is "one hundred thirty-six billion, two hundred four million, five hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 359 586 718 1172 1436 1465 1795 2344 2872 2930 3590 4688 5744 5860 7180 8093 9376 11488 11720 14360 16186 23440 28720 32372 40465 46880 57440 64744 80930 105187 129488 161860 210374 258976 323720 420748 525935 647440 841496 1051870 1294880 1682992 2103740 2371249 2905387 3365984 4207480 4742498 5810774 8414960 9484996 11621548 11856245 14526935 16829920 18969992 23243096 23712490 29053870 37939984 46486192 47424980 58107740 75879968 92972384 94849960 116215480 189699920 232430960 379399840 464861920 851278391 1702556782 3405113564 4256391955 6810227128 8512783910 13620454256 17025567820 27240908512 34051135640 68102271280 136204542560