Search a number
-
+
61105561056 = 2533174160237
BaseRepresentation
bin111000111010001011…
…001101110111100000
312211201112220010102000
4320322023031313200
52000121010423211
644023240124000
74262152461531
oct707213156740
9184645803360
1061105561056
1123a07550491
12ba14166600
1359ba807127
142d5963c688
1518c9836656
hexe3a2cdde0

61105561056 has 96 divisors (see below), whose sum is σ = 188708395680. Its totient is φ = 19170367488.

The previous prime is 61105561007. The next prime is 61105561081. The reversal of 61105561056 is 65016550116.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61105561056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065431 + ... + 2094806.

It is an arithmetic number, because the mean of its divisors is an integer number (1965712455).

Almost surely, 261105561056 is an apocalyptic number.

It is an amenable number.

61105561056 is an abundant number, since it is smaller than the sum of its proper divisors (127602834624).

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

61105561056 is a wasteful number, since it uses less digits than its factorization.

61105561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160273 (or 4160259 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 61105561056 in words is "sixty-one billion, one hundred five million, five hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 4160237 8320474 12480711 16640948 24961422 33281896 37442133 49922844 66563792 70724029 74884266 99845688 112326399 133127584 141448058 149768532 199691376 212172087 224652798 282896116 299537064 399382752 424344174 449305596 565792232 599074128 636516261 848688348 898611192 1131584464 1198148256 1273032522 1697376696 1797222384 1909548783 2263168928 2546065044 3394753392 3594444768 3819097566 5092130088 6789506784 7638195132 10184260176 15276390264 20368520352 30552780528 61105561056