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2540377818804 = 2237732657155921
BaseRepresentation
bin100100111101111010010…
…100010100011010110100
322222212011022001021200010
4210331322110110122310
5313110143210200204
65223011121020220
7351351634114650
oct44757224243264
98885138037603
102540377818804
1189a406062171
12350413484670
13155730b0ab07
148ad5250da60
1546133878d89
hex24f7a5146b4

2540377818804 has 96 divisors (see below), whose sum is σ = 6869768645376. Its totient is φ = 715605442560.

The previous prime is 2540377818761. The next prime is 2540377818833. The reversal of 2540377818804 is 4088187730452.

2540377818804 is digitally balanced in base 2, 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, 16214764 + ... + 16370684.

It is an arithmetic number, because the mean of its divisors is an integer number (71560090056).

Almost surely, 22540377818804 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 2540377818804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434884322688).

2540377818804 is an abundant number, since it is smaller than the sum of its proper divisors (4329390826572).

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

2540377818804 is a wasteful number, since it uses less digits than its factorization.

2540377818804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158665 (or 158663 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 2540377818804 in words is "two trillion, five hundred forty billion, three hundred seventy-seven million, eight hundred eighteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 2657 3066 5314 6132 7971 10628 15942 18599 31884 37198 55797 74396 111594 155921 193961 223188 311842 387922 467763 581883 623684 775844 935526 1091447 1163766 1357727 1871052 2182894 2327532 2715454 3274341 4073181 4365788 5430908 6548682 8146362 11382233 13097364 16292724 22764466 34146699 45528932 68293398 79675631 136586796 159351262 239026893 318702524 414282097 478053786 828564194 956107572 1242846291 1657128388 2485692582 2899974679 4971385164 5799949358 8699924037 11599898716 17399848074 30242593081 34799696148 60485186162 90727779243 120970372324 181455558486 211698151567 362911116972 423396303134 635094454701 846792606268 1270188909402 2540377818804