Search a number
-
+
1972901817088 = 28174259106441
BaseRepresentation
bin11100101101011010000…
…111001010101100000000
320222121101220211112021221
4130231122013022230000
5224311000331121323
64110201044524424
7262352226515236
oct34553207125400
96877356745257
101972901817088
116a07807079a4
1227a4409b0714
13114075428107
146b6bb9b0956
15364be00155d
hex1cb5a1cab00

1972901817088 has 72 divisors (see below), whose sum is σ = 4170767978160. Its totient is φ = 928197672960.

The previous prime is 1972901817049. The next prime is 1972901817143. The reversal of 1972901817088 is 8807181092791.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18481948 + ... + 18588388.

It is an arithmetic number, because the mean of its divisors is an integer number (57927333030).

Almost surely, 21972901817088 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 1972901817088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085383989080).

1972901817088 is an abundant number, since it is smaller than the sum of its proper divisors (2197866161072).

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

1972901817088 is a wasteful number, since it uses less digits than its factorization.

1972901817088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110733 (or 110719 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 61.

The spelling of 1972901817088 in words is "one trillion, nine hundred seventy-two billion, nine hundred one million, eight hundred seventeen thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4259 4352 8518 17036 34072 68144 72403 106441 136288 144806 212882 272576 289612 425764 545152 579224 851528 1090304 1158448 1703056 1809497 2316896 3406112 3618994 4633792 6812224 7237988 9267584 13624448 14475976 18535168 27248896 28951952 57903904 115807808 231615616 453332219 463231232 906664438 1813328876 3626657752 7253315504 7706647723 14506631008 15413295446 29013262016 30826590892 58026524032 61653181784 116053048064 123306363568 246612727136 493225454272 986450908544 1972901817088