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61342513056 = 2534112151463
BaseRepresentation
bin111001001000010011…
…000111011110100000
312212100001202112110000
4321020103013132200
52001112140404211
644102542540000
74301060520636
oct711023073640
9185301675400
1061342513056
1124019281a90
12ba7b597600
135a2792b806
142d7ccbd356
1518e053e656
hexe484c77a0

61342513056 has 120 divisors (see below), whose sum is σ = 196807320864. Its totient is φ = 18588631680.

The previous prime is 61342513051. The next prime is 61342513097. The reversal of 61342513056 is 65031524316.

61342513056 is a `hidden beast` number, since 6 + 1 + 342 + 5 + 1 + 305 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61342513056.

It is not an unprimeable number, because it can be changed into a prime (61342513051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1047220 + ... + 1104243.

Almost surely, 261342513056 is an apocalyptic number.

61342513056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61342513056 is an abundant number, since it is smaller than the sum of its proper divisors (135464807808).

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

61342513056 is a wasteful number, since it uses less digits than its factorization.

61342513056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151496 (or 2151479 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 61342513056 in words is "sixty-one billion, three hundred forty-two million, five hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 2151463 4302926 6454389 8605852 12908778 17211704 19363167 23666093 25817556 34423408 38726334 47332186 51635112 58089501 68846816 70998279 77452668 94664372 103270224 116179002 141996558 154905336 174268503 189328744 206540448 212994837 232358004 283993116 309810672 348537006 378657488 425989674 464716008 567986232 619621344 638984511 697074012 757314976 851979348 929432016 1135972464 1277969022 1394148024 1703958696 1858864032 1916953533 2271944928 2555938044 2788296048 3407917392 3833907066 5111876088 5576592096 6815834784 7667814132 10223752176 15335628264 20447504352 30671256528 61342513056