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61043017146048 = 2632715139637189
BaseRepresentation
bin11011110000100101011110…
…10110100101111011000000
322000010122200211011101020200
431320102233112211323000
531000112044342133143
6333454435215405200
715600132604412430
oct1570225726457300
9260118624141220
1061043017146048
11184a521a877573
126a1a666b23800
13280a4410051b2
1411106d7d382c0
1570cd07b301d3
hex3784af5a5ec0

61043017146048 has 84 divisors (see below), whose sum is σ = 199964328005520. Its totient is φ = 17440862040576.

The previous prime is 61043017146011. The next prime is 61043017146061. The reversal of 61043017146048 is 84064171034016.

61043017146048 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 30 + 1 + 7 + 1 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×610430171460482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61043017145994 and 61043017146012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7569814563 + ... + 7569822626.

Almost surely, 261043017146048 is an apocalyptic number.

It is an amenable number.

61043017146048 is an abundant number, since it is smaller than the sum of its proper divisors (138921310859472).

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

61043017146048 is a wasteful number, since it uses less digits than its factorization.

61043017146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15139637214 (or 15139637201 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 61043017146048 in words is "sixty-one trillion, forty-three billion, seventeen million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 15139637189 30279274378 45418911567 60558548756 90837823134 105977460323 121117097512 136256734701 181675646268 211954920646 242234195024 272513469402 317932380969 363351292536 423909841292 484468390048 545026938804 635864761938 726702585072 847819682584 953797142907 968936780096 1090053877608 1271729523876 1453405170144 1695639365168 1907594285814 2180107755216 2543459047752 2906810340288 3391278730336 3815188571628 4360215510432 5086918095504 6782557460672 7630377143256 8720431020864 10173836191008 15260754286512 20347672382016 30521508573024 61043017146048