Search a number
-
+
136340572515516 = 223427714471049861
BaseRepresentation
bin11111000000000001000011…
…011001001010110010111100
3122212202000211220211012120000
4133000001003121022302330
5120332300443030444031
61201545554435554300
740501165325634465
oct3700010331126274
9585660756735500
10136340572515516
113a495791880336
121335b871a5b990
135b0cb262ba9c5
142594cc172bd6c
1510b67e7ab63e6
hex7c004364acbc

136340572515516 has 120 divisors (see below), whose sum is σ = 357955454642016. Its totient is φ = 45251452068480.

The previous prime is 136340572515431. The next prime is 136340572515529. The reversal of 136340572515516 is 615515275043631.

It is a happy number.

136340572515516 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 4 + 0 + 5 + 72 + 51 + 5 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129340426 + ... + 130390286.

Almost surely, 2136340572515516 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 136340572515516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178977727321008).

136340572515516 is an abundant number, since it is smaller than the sum of its proper divisors (221614882126500).

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

136340572515516 is a wasteful number, since it uses less digits than its factorization.

136340572515516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051601 (or 1051590 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 136340572515516 in words is "one hundred thirty-six trillion, three hundred forty billion, five hundred seventy-two million, five hundred fifteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 277 324 554 831 1108 1447 1662 2493 2894 3324 4341 4986 5788 7479 8682 9972 13023 14958 17364 22437 26046 29916 39069 44874 52092 78138 89748 117207 156276 234414 400819 468828 801638 1049861 1202457 1603276 2099722 2404914 3149583 3607371 4199444 4809828 6299166 7214742 9448749 10822113 12598332 14429484 18897498 21644226 28346247 32466339 37794996 43288452 56692494 64932678 85038741 113384988 129865356 170077482 290811497 340154964 581622994 872434491 1163245988 1519148867 1744868982 2617303473 3038297734 3489737964 4557446601 5234606946 6076595468 7851910419 9114893202 10469213892 13672339803 15703820838 18229786404 23555731257 27344679606 31407641676 41017019409 47111462514 54689359212 82034038818 94222925028 123051058227 164068077636 246102116454 420804236159 492204232908 841608472318 1262412708477 1683216944636 2524825416954 3787238125431 5049650833908 7574476250862 11361714376293 15148952501724 22723428752586 34085143128879 45446857505172 68170286257758 136340572515516