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1801414002872 = 231124321006471
BaseRepresentation
bin11010001101101100101…
…001000100100010111000
320101012202122020221202102
4122031230221010202320
5214003243441042442
63455320321522532
7244101501244301
oct32155451044270
96335678227672
101801414002872
11634a80272a00
12251161aa3448
13100b461874b3
14632904c77a8
1531cd3c67232
hex1a36ca448b8

1801414002872 has 72 divisors (see below), whose sum is σ = 3800976734520. Its totient is φ = 799781320800.

The previous prime is 1801414002851. The next prime is 1801414002881. The reversal of 1801414002872 is 2782004141081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1286597 + ... + 2293067.

It is an arithmetic number, because the mean of its divisors is an integer number (52791343535).

Almost surely, 21801414002872 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 1801414002872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900488367260).

1801414002872 is an abundant number, since it is smaller than the sum of its proper divisors (1999562731648).

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

1801414002872 is a wasteful number, since it uses less digits than its factorization.

1801414002872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006585 (or 1006527 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The spelling of 1801414002872 in words is "one trillion, eight hundred one billion, four hundred fourteen million, two thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1849 1892 3698 3784 5203 7396 10406 14792 20339 20812 40678 41624 81356 162712 223729 447458 894916 1006471 1789832 2012942 4025884 8051768 11071181 22142362 43278253 44284724 86556506 88569448 121782991 173113012 243565982 346226024 476060783 487131964 952121566 974263928 1860964879 1904243132 3721929758 3808486264 5236668613 7443859516 10473337226 14887719032 20470613669 20946674452 40941227338 41893348904 81882454676 163764909352 225176750359 450353500718 900707001436 1801414002872