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3013168279104 = 2634241092
BaseRepresentation
bin101011110110001110110…
…100110010111001000000
3101200001111212201011110000
4223312032310302321000
5343331432034412404
610224121433240000
7430460055532254
oct53661664627100
911601455634400
103013168279104
11a61971a38775
12407b7bb63000
1318b1a9a30829
14a5ba3b48264
15535a5836339
hex2bd8ed32e40

3013168279104 has 105 divisors (see below), whose sum is σ = 8932345217697. Its totient is φ = 1004347766016.

The previous prime is 3013168279073. The next prime is 3013168279139. The reversal of 3013168279104 is 4019728613103.

The square root of 3013168279104 is 1735848.

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

3013168279104 is a `hidden beast` number, since 301 + 3 + 1 + 68 + 279 + 10 + 4 = 666.

3013168279104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1892957719104 + 1120210560000 = 1375848^2 + 1058400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3013168279104.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 124969002 + ... + 124993110.

Almost surely, 23013168279104 is an apocalyptic number.

3013168279104 is the 1735848-th square number.

It is an amenable number.

3013168279104 is an abundant number, since it is smaller than the sum of its proper divisors (5919176938593).

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

3013168279104 is an frugal number, since it uses more digits than its factorization.

3013168279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48242 (or 24114 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3013168279104 in words is "three trillion, thirteen billion, one hundred sixty-eight million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 24109 48218 72327 96436 144654 192872 216981 289308 385744 433962 578616 650943 771488 867924 1157232 1301886 1542976 1735848 1952829 2314464 2603772 3471696 3905658 4628928 5207544 6943392 7811316 10415088 13886784 15622632 20830176 31245264 41660352 62490528 124981056 581243881 1162487762 1743731643 2324975524 3487463286 4649951048 5231194929 6974926572 9299902096 10462389858 13949853144 15693584787 18599804192 20924779716 27899706288 31387169574 37199608384 41849559432 47080754361 55799412576 62774339148 83699118864 94161508722 111598825152 125548678296 167398237728 188323017444 251097356592 334796475456 376646034888 502194713184 753292069776 1004389426368 1506584139552 3013168279104