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109914793156 = 22741721992
BaseRepresentation
bin110011001011101101…
…1101010010011000100
3101111201011002000120001
41212113123222103010
53300101141340111
6122254423251044
710640535220000
oct1462733522304
9344634060501
10109914793156
1142684042a33
12193762a9a84
13a49896585c
145469b63700
152cd48b61c1
hex19976ea4c4

109914793156 has 135 divisors (see below), whose sum is σ = 239576109549. Its totient is φ = 44112587904.

The previous prime is 109914793141. The next prime is 109914793181. The reversal of 109914793156 is 651397419901.

The square root of 109914793156 is 331534.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 85573800900 + 24340992256 = 292530^2 + 156016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 109914793097 and 109914793106.

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 44 ways as a sum of consecutive naturals, for example, 552335545 + ... + 552335743.

Almost surely, 2109914793156 is an apocalyptic number.

109914793156 is the 331534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109914793156

109914793156 is an abundant number, since it is smaller than the sum of its proper divisors (129661316393).

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

109914793156 is an frugal number, since it uses more digits than its factorization.

109914793156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 55.

The spelling of 109914793156 in words is "one hundred nine billion, nine hundred fourteen million, seven hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 199 238 289 343 398 476 578 686 796 833 1156 1372 1393 1666 2023 2401 2786 3332 3383 4046 4802 5572 5831 6766 8092 9604 9751 11662 13532 14161 19502 23324 23681 28322 39004 39601 40817 47362 56644 57511 68257 79202 81634 94724 99127 115022 136514 158404 163268 165767 198254 230044 273028 277207 331534 396508 402577 477799 554414 663068 673217 693889 805154 955598 1108828 1160369 1346434 1387778 1610308 1911196 1940449 2320738 2692868 2775556 2818039 3880898 4641476 4712519 5636078 7761796 8122583 9425038 11272156 11444689 13583143 16245166 18850076 19726273 22889378 27166286 32490332 32987633 39452546 45778756 54332572 65975266 78905092 80112823 95082001 131950532 138083911 160225646 190164002 230913431 276167822 320451292 380328004 461826862 552335644 560789761 923653724 1121579522 1616394017 2243159044 3232788034 3925528327 6465576068 7851056654 15702113308 27478698289 54957396578 109914793156