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116811861012 = 2232711160126321
BaseRepresentation
bin110110011001010000…
…1111000110000010100
3102011111211010100222200
41230302201320300110
53403212314023022
6125355043324500
711303464302360
oct1546241706024
9364454110880
10116811861012
11455a3283110
121a780080730
13b02783c4b2
145921b682a0
15308a14bbac
hex1b32878c14

116811861012 has 144 divisors (see below), whose sum is σ = 368378285184. Its totient is φ = 30320640000.

The previous prime is 116811860993. The next prime is 116811861017. The reversal of 116811861012 is 210168118611.

116811861012 is a `hidden beast` number, since 1 + 16 + 8 + 1 + 18 + 610 + 12 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (116811861017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4424812 + ... + 4451132.

It is an arithmetic number, because the mean of its divisors is an integer number (2558182536).

Almost surely, 2116811861012 is an apocalyptic number.

116811861012 is a gapful number since it is divisible by the number (12) 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 116811861012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184189142592).

116811861012 is an abundant number, since it is smaller than the sum of its proper divisors (251566424172).

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

116811861012 is a wasteful number, since it uses less digits than its factorization.

116811861012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27950 (or 27945 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

Adding to 116811861012 its reverse (210168118611), we get a palindrome (326979979623).

The spelling of 116811861012 in words is "one hundred sixteen billion, eight hundred eleven million, eight hundred sixty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1601 2772 3202 4803 6404 9606 11207 14409 17611 19212 22414 26321 28818 33621 35222 44828 52642 52833 57636 67242 70444 78963 100863 105284 105666 123277 134484 157926 158499 184247 201726 211332 236889 246554 289531 315852 316998 368494 369831 403452 473778 493108 552741 579062 633996 736988 739662 868593 947556 1105482 1109493 1158124 1479324 1658223 1737186 2026717 2210964 2218986 2605779 3316446 3474372 4053434 4437972 5211558 6080151 6632892 8106868 10423116 12160302 18240453 24320604 36480906 42139921 72961812 84279842 126419763 168559684 252839526 294979447 379259289 463539131 505679052 589958894 758518578 884938341 927078262 1179917788 1390617393 1517037156 1769876682 1854156524 2654815023 2781234786 3244773917 3539753364 4171852179 5309630046 5562469572 6489547834 8343704358 9734321751 10619260092 12979095668 16687408716 19468643502 29202965253 38937287004 58405930506 116811861012