Search a number
-
+
89117793408 = 273747705403
BaseRepresentation
bin101001011111111010…
…1011001110010000000
322112000202211222012010
41102333311121302000
52430003123342113
6104535023332520
76303264513450
oct1227765316200
9275022758163
1089117793408
1134881742236
1215331451140
138533118847
144455a93d60
1524b8bb71c3
hex14bfd59c80

89117793408 has 128 divisors (see below), whose sum is σ = 276292638720. Its totient is φ = 24920441856.

The previous prime is 89117793377. The next prime is 89117793421. The reversal of 89117793408 is 80439771198.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×891177934082 (a number of 23 digits) contains 22 as substring.

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, 226366 + ... + 479037.

It is an arithmetic number, because the mean of its divisors is an integer number (2158536240).

Almost surely, 289117793408 is an apocalyptic number.

It is an amenable number.

89117793408 is an abundant number, since it is smaller than the sum of its proper divisors (187174845312).

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

89117793408 is a wasteful number, since it uses less digits than its factorization.

89117793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705474 (or 705462 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 89117793408 in words is "eighty-nine billion, one hundred seventeen million, seven hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 282 329 336 376 384 448 564 658 672 752 896 987 1128 1316 1344 1504 1974 2256 2632 2688 3008 3948 4512 5264 6016 7896 9024 10528 15792 18048 21056 31584 42112 63168 126336 705403 1410806 2116209 2821612 4232418 4937821 5643224 8464836 9875642 11286448 14813463 16929672 19751284 22572896 29626926 33153941 33859344 39502568 45145792 59253852 66307882 67718688 79005136 90291584 99461823 118507704 132615764 135437376 158010272 198923646 232077587 237015408 265231528 270874752 316020544 397847292 464155174 474030816 530463056 632041088 696232761 795694584 928310348 948061632 1060926112 1392465522 1591389168 1856620696 1896123264 2121852224 2784931044 3182778336 3713241392 4243704448 5569862088 6365556672 7426482784 11139724176 12731113344 14852965568 22279448352 29705931136 44558896704 89117793408