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45522455568 = 24317536431637
BaseRepresentation
bin101010011001010110…
…011000110000010000
311100111112112100100220
4222121112120300100
51221212222034233
632525052113040
73201042326232
oct523126306020
9140445470326
1045522455568
111834026a707
1289a5465780
1343a6229255
1422bbbcc252
1512b673eeb3
hexa99598c10

45522455568 has 160 divisors (see below), whose sum is σ = 127141612416. Its totient is φ = 13981753344.

The previous prime is 45522455567. The next prime is 45522455603. The reversal of 45522455568 is 86555422554.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 45522455568.

It is not an unprimeable number, because it can be changed into a prime (45522455567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27807646 + ... + 27809282.

Almost surely, 245522455568 is an apocalyptic number.

45522455568 is a gapful number since it is divisible by the number (48) 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 45522455568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63570806208).

45522455568 is an abundant number, since it is smaller than the sum of its proper divisors (81619156848).

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

45522455568 is a wasteful number, since it uses less digits than its factorization.

45522455568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2355 counting only the distinct ones).

The product of its digits is 9600000, while the sum is 51.

The spelling of 45522455568 in words is "forty-five billion, five hundred twenty-two million, four hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 643 816 848 901 1272 1286 1637 1802 1929 2544 2572 2703 3274 3604 3858 4911 5144 5406 6548 7208 7716 9822 10288 10812 10931 13096 14416 15432 19644 21624 21862 26192 27829 30864 32793 34079 39288 43248 43724 55658 65586 68158 78576 83487 86761 87448 102237 111316 131172 136316 166974 173522 174896 204474 222632 260283 262344 272632 333948 347044 408948 445264 520566 524688 545264 579343 667896 694088 817896 1041132 1052591 1158686 1335792 1388176 1474937 1635792 1738029 2082264 2105182 2317372 2949874 3157773 3476058 4164528 4210364 4424811 4634744 5899748 6315546 6952116 8420728 8849622 9269488 11799496 12631092 13904232 16841456 17699244 17894047 23598992 25262184 27808464 35398488 35788094 50524368 53682141 55787323 70796976 71576188 107364282 111574646 143152376 167361969 214728564 223149292 286304752 334723938 429457128 446298584 669447876 858914256 892597168 948384491 1338895752 1896768982 2677791504 2845153473 3793537964 5690306946 7587075928 11380613892 15174151856 22761227784 45522455568