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5401869792 = 2531122320219
BaseRepresentation
bin1010000011111100…
…11111110111100000
3111221110120102021120
411001332133313200
542030334313132
62252004452240
7250602064344
oct50176376740
914843512246
105401869792
11232223a800
1210690aa080
136811a6277
143935d1624
1521938902c
hex141f9fde0

5401869792 has 144 divisors (see below), whose sum is σ = 16264644480. Its totient is φ = 1565681920.

The previous prime is 5401869787. The next prime is 5401869793. The reversal of 5401869792 is 2979681045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5401869793) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 257059 + ... + 277277.

It is an arithmetic number, because the mean of its divisors is an integer number (112948920).

Almost surely, 25401869792 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 5401869792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132322240).

5401869792 is an abundant number, since it is smaller than the sum of its proper divisors (10862774688).

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

5401869792 is a wasteful number, since it uses less digits than its factorization.

5401869792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277 (or 20258 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 5401869792 is about 73497.4135055105. The cubic root of 5401869792 is about 1754.6131123375.

The spelling of 5401869792 in words is "five billion, four hundred one million, eight hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 121 132 138 176 184 242 253 264 276 352 363 368 484 506 528 552 726 736 759 968 1012 1056 1104 1452 1518 1936 2024 2208 2783 2904 3036 3872 4048 5566 5808 6072 8096 8349 11132 11616 12144 16698 20219 22264 24288 33396 40438 44528 60657 66792 80876 89056 121314 133584 161752 222409 242628 267168 323504 444818 465037 485256 647008 667227 889636 930074 970512 1334454 1395111 1779272 1860148 1941024 2446499 2668908 2790222 3558544 3720296 4892998 5115407 5337816 5580444 7117088 7339497 7440592 9785996 10230814 10675632 11160888 14678994 14881184 15346221 19571992 20461628 21351264 22321776 29357988 30692442 39143984 40923256 44643552 56269477 58715976 61384884 78287968 81846512 112538954 117431952 122769768 163693024 168808431 225077908 234863904 245539536 337616862 450155816 491079072 675233724 900311632 1350467448 1800623264 2700934896 5401869792