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61061754368 = 2917149197239
BaseRepresentation
bin111000110111100100…
…000110111000000000
312211121111110111221002
4320313210012320000
52000023302114433
644015033151132
74261111230326
oct706744067000
9184544414832
1061061754368
112399484a90a
12ba0155b4a8
1359b1709a04
142d538b7d16
1518c5a819e8
hexe37906e00

61061754368 has 160 divisors (see below), whose sum is σ = 131254992000. Its totient is φ = 28278390784.

The previous prime is 61061754367. The next prime is 61061754407. The reversal of 61061754368 is 86345716016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61061754367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255488393 + ... + 255488631.

It is an arithmetic number, because the mean of its divisors is an integer number (820343700).

Almost surely, 261061754368 is an apocalyptic number.

61061754368 is a gapful number since it is divisible by the number (68) 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 61061754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65627496000).

61061754368 is an abundant number, since it is smaller than the sum of its proper divisors (70193237632).

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

61061754368 is a wasteful number, since it uses less digits than its factorization.

61061754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 61061754368 in words is "sixty-one billion, sixty-one million, seven hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 149 197 239 256 272 298 394 478 512 544 596 788 956 1088 1192 1576 1912 2176 2384 2533 3152 3349 3824 4063 4352 4768 5066 6304 6698 7648 8126 8704 9536 10132 12608 13396 15296 16252 19072 20264 25216 26792 29353 30592 32504 35611 38144 40528 47083 50432 53584 58706 61184 65008 71222 76288 81056 94166 100864 107168 117412 122368 130016 142444 162112 188332 214336 234824 260032 284888 324224 376664 428672 469648 499001 520064 569776 605387 648448 753328 800411 857344 939296 998002 1040128 1139552 1210774 1296896 1506656 1600822 1714688 1878592 1996004 2080256 2279104 2421548 3013312 3201644 3757184 3992008 4558208 4843096 6026624 6403288 7015367 7514368 7984016 9116416 9686192 12053248 12806576 14030734 15028736 15968032 18232832 19372384 24106496 25613152 28061468 31936064 38744768 51226304 56122936 63872128 77489536 102452608 112245872 119261239 127744256 154979072 204905216 224491744 238522478 255488512 309958144 409810432 448983488 477044956 897966976 954089912 1795933952 1908179824 3591867904 3816359648 7632719296 15265438592 30530877184 61061754368