Search a number
-
+
20003507277416 = 23131792634085677
BaseRepresentation
bin1001000110001011011011…
…11100100000111001101000
32121211022112211000122210022
410203011231330200321220
510110214140330334131
6110313252343140012
74133130362261315
oct443055574407150
977738484018708
1020003507277416
116412492405513
1222b0992144608
13b21426aca910
144d2263d91d0c
1524a50cc2e37b
hex12316df20e68

20003507277416 has 64 divisors (see below), whose sum is σ = 40771797897600. Its totient is φ = 9145900124928.

The previous prime is 20003507277409. The next prime is 20003507277421. The reversal of 20003507277416 is 61477270530002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2853170 + ... + 6938846.

It is an arithmetic number, because the mean of its divisors is an integer number (637059342150).

Almost surely, 220003507277416 is an apocalyptic number.

20003507277416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003507277416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20385898948800).

20003507277416 is an abundant number, since it is smaller than the sum of its proper divisors (20768290620184).

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

20003507277416 is a wasteful number, since it uses less digits than its factorization.

20003507277416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086138 (or 4086134 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 44.

The spelling of 20003507277416 in words is "twenty trillion, three billion, five hundred seven million, two hundred seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 179 263 358 526 716 1052 1432 2104 2327 3419 4654 6838 9308 13676 18616 27352 47077 94154 188308 376616 612001 1224002 2448004 4085677 4896008 8171354 16342708 32685416 53113801 106227602 212455204 424910408 731336183 1074533051 1462672366 2149066102 2925344732 4298132204 5850689464 8596264408 9507370379 13968929663 19014740758 27937859326 38029481516 55875718652 76058963032 111751437304 192341416129 384682832258 769365664516 1538731329032 2500438409677 5000876819354 10001753638708 20003507277416