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136417404048 = 24371103569683
BaseRepresentation
bin111111100001100011…
…1000110010010010000
3111001010011102011000020
41333003013012102100
54213340323412143
6142400322223440
712566356542102
oct1770307062220
9431104364006
10136417404048
1152944082842
1222531ab4b80
13cb30596833
1468618cd572
15383644b883
hex1fc31c6490

136417404048 has 160 divisors (see below), whose sum is σ = 362008258560. Its totient is φ = 44253834240.

The previous prime is 136417404041. The next prime is 136417404059. The reversal of 136417404048 is 840404714631.

It is not an unprimeable number, because it can be changed into a prime (136417404041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199732315 + ... + 199732997.

It is an arithmetic number, because the mean of its divisors is an integer number (2262551616).

Almost surely, 2136417404048 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 136417404048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181004129280).

136417404048 is an abundant number, since it is smaller than the sum of its proper divisors (225590854512).

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

136417404048 is a wasteful number, since it uses less digits than its factorization.

136417404048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 136417404048 in words is "one hundred thirty-six billion, four hundred seventeen million, four hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 103 142 206 213 284 309 412 426 568 569 618 683 824 852 1136 1138 1236 1366 1648 1704 1707 2049 2276 2472 2732 3408 3414 4098 4552 4944 5464 6828 7313 8196 9104 10928 13656 14626 16392 21939 27312 29252 32784 40399 43878 48493 58504 58607 70349 80798 87756 96986 117008 117214 121197 140698 145479 161596 175512 175821 193972 211047 234428 242394 281396 290958 323192 351024 351642 387944 388627 422094 468856 484788 562792 581916 646384 703284 775888 777254 844188 937712 969576 1125584 1163832 1165881 1406568 1554508 1688376 1939152 2327664 2331762 2813136 3109016 3376752 4161097 4663524 4994779 6218032 8322194 9327048 9989558 12483291 14984337 16644388 18654096 19979116 24966582 27592517 29968674 33288776 39958232 40028581 49933164 55185034 59937348 66577552 79916464 80057162 82777551 99866328 110370068 119874696 120085743 160114324 165555102 199732656 220740136 239749392 240171486 320228648 331110204 441480272 480342972 640457296 662220408 960685944 1324440816 1921371888 2842029251 5684058502 8526087753 11368117004 17052175506 22736234008 34104351012 45472468016 68208702024 136417404048