Search a number
-
+
191449656552 = 23373112114251
BaseRepresentation
bin1011001001001101001…
…0011110110011101000
3200022011110022020022110
42302103102132303220
511114042103002202
6223541210322320
716555205142000
oct2622322366350
9608143266273
10191449656552
1174214381660
12311301293a0
1315090a7845b
1493a26b9000
154ea79b926c
hex2c9349ece8

191449656552 has 128 divisors (see below), whose sum is σ = 608904576000. Its totient is φ = 49727160000.

The previous prime is 191449656539. The next prime is 191449656569. The reversal of 191449656552 is 255656944191.

191449656552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 191449656492 and 191449656501.

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 31 ways as a sum of consecutive naturals, for example, 966574 + ... + 1147677.

It is an arithmetic number, because the mean of its divisors is an integer number (4757067000).

Almost surely, 2191449656552 is an apocalyptic number.

191449656552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

191449656552 is an abundant number, since it is smaller than the sum of its proper divisors (417454919448).

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

191449656552 is a wasteful number, since it uses less digits than its factorization.

191449656552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114292 (or 2114274 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 57.

The spelling of 191449656552 in words is "one hundred ninety-one billion, four hundred forty-nine million, six hundred fifty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2744 3234 3773 4116 4312 6468 7546 8232 11319 12936 15092 22638 30184 45276 90552 2114251 4228502 6342753 8457004 12685506 14799757 16914008 23256761 25371012 29599514 44399271 46513522 50742024 59199028 69770283 88798542 93027044 103598299 118398056 139540566 162797327 177597084 186054088 207196598 279081132 310794897 325594654 355194168 414393196 488391981 558162264 621589794 651189308 725188093 828786392 976783962 1139581289 1243179588 1302378616 1450376186 1953567924 2175564279 2279162578 2486359176 2900752372 3418743867 3907135848 4351128558 4558325156 5801504744 6837487734 7977069023 8702257116 9116650312 13674975468 15954138046 17404514232 23931207069 27349950936 31908276092 47862414138 63816552184 95724828276 191449656552