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116999327536 = 247131931136429
BaseRepresentation
bin110110011110110110…
…1000000111100110000
3102011222212212122201021
41230331231000330300
53404103311440121
6125425421345224
711311231606120
oct1547555007460
9364885778637
10116999327536
114568a085523
121a812a08214
13b057628a30
14593ca06c80
15309b82c641
hex1b3db40f30

116999327536 has 160 divisors (see below), whose sum is σ = 303158374400. Its totient is φ = 42434565120.

The previous prime is 116999327531. The next prime is 116999327561. The reversal of 116999327536 is 635723999611.

It is not an unprimeable number, because it can be changed into a prime (116999327531) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 789370 + ... + 925798.

It is an arithmetic number, because the mean of its divisors is an integer number (1894739840).

Almost surely, 2116999327536 is an apocalyptic number.

116999327536 is a gapful number since it is divisible by the number (16) 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 116999327536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151579187200).

116999327536 is an abundant number, since it is smaller than the sum of its proper divisors (186159046864).

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

116999327536 is a wasteful number, since it uses less digits than its factorization.

116999327536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136507 (or 136501 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 61.

The spelling of 116999327536 in words is "one hundred sixteen billion, nine hundred ninety-nine million, three hundred twenty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 31 38 52 56 62 76 91 104 112 124 133 152 182 208 217 247 248 266 304 364 403 434 494 496 532 589 728 806 868 988 1064 1178 1456 1612 1729 1736 1976 2128 2356 2821 3224 3458 3472 3952 4123 4712 5642 6448 6916 7657 8246 9424 11284 13832 15314 16492 22568 27664 30628 32984 45136 53599 61256 65968 107198 122512 136429 214396 272858 428792 545716 857584 955003 1091432 1773577 1910006 2182864 2592151 3547154 3820012 4229299 5184302 7094308 7640024 8458598 10368604 12415039 14188616 15280048 16917196 18145057 20737208 24830078 28377232 29605093 33697963 33834392 36290114 41474416 49660156 54980887 59210186 67395926 67668784 72580228 80356681 99320312 109961774 118420372 134791852 145160456 160713362 198640624 219923548 235885741 236840744 269583704 290320912 321426724 384866209 439847096 471771482 473681488 539167408 562496767 642853448 769732418 879694192 943542964 1044636853 1124993534 1285706896 1539464836 1887085928 2089273706 2249987068 3078929672 3774171856 4178547412 4499974136 6157859344 7312457971 8357094824 8999948272 14624915942 16714189648 29249831884 58499663768 116999327536