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113400636216 = 23374149932993
BaseRepresentation
bin110100110011100110…
…1000110001100111000
3101211201002022012021120
41221213031012030320
53324221030324331
6124032345105240
711123113334520
oct1514715061470
9354632265246
10113400636216
114410278046a
1219b89788220
13a902bb649a
1456baab8680
152e3a928796
hex1a67346338

113400636216 has 128 divisors (see below), whose sum is σ = 332579520000. Its totient is φ = 31545630720.

The previous prime is 113400636199. The next prime is 113400636227. The reversal of 113400636216 is 612636004311.

113400636216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3420616 + ... + 3453608.

It is an arithmetic number, because the mean of its divisors is an integer number (2598277500).

Almost surely, 2113400636216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113400636216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289760000).

113400636216 is an abundant number, since it is smaller than the sum of its proper divisors (219178883784).

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

113400636216 is a wasteful number, since it uses less digits than its factorization.

113400636216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33549 (or 33545 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 113400636216 in words is "one hundred thirteen billion, four hundred million, six hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 499 574 861 984 998 1148 1497 1722 1996 2296 2994 3444 3493 3992 5988 6888 6986 10479 11976 13972 20459 20958 27944 32993 40918 41916 61377 65986 81836 83832 98979 122754 131972 143213 163672 197958 230951 245508 263944 286426 395916 429639 461902 491016 572852 692853 791832 859278 923804 1145704 1352713 1385706 1718556 1847608 2705426 2771412 3437112 4058139 5410852 5542824 8116278 9468991 10821704 16232556 16463507 18937982 28406973 32465112 32927014 37875964 49390521 56813946 65854028 75751928 98781042 113627892 115244549 131708056 197562084 227255784 230489098 345733647 395124168 460978196 675003787 691467294 921956392 1350007574 1382934588 2025011361 2700015148 2765869176 4050022722 4725026509 5400030296 8100045444 9450053018 14175079527 16200090888 18900106036 28350159054 37800212072 56700318108 113400636216