Search a number
-
+
980042000450 = 25219127332
BaseRepresentation
bin11100100001011110000…
…11100010100001000010
310110200122210221000000112
432100233003202201002
5112024111223003300
62030120341151322
7130543232361302
oct16205703424102
93420583830015
10980042000450
113486a7183497
12139b320bb542
1371557508156
1435611975602
151a75e544e35
hexe42f0e2842

980042000450 has 54 divisors (see below), whose sum is σ = 1834975325547. Its totient is φ = 389432344800.

The previous prime is 980042000393. The next prime is 980042000453. The reversal of 980042000450 is 54000240089.

It can be written as a sum of positive squares in 5 ways, for example, as 900025997809 + 80016002641 = 948697^2 + 282871^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=700015.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (980042000453) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1337028284 + ... + 1337029016.

Almost surely, 2980042000450 is an apocalyptic number.

980042000450 is a deficient number, since it is larger than the sum of its proper divisors (854933325097).

980042000450 is an frugal number, since it uses more digits than its factorization.

980042000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Multiplying 980042000450 by its sum of digits (32), we get a square (31361344014400 = 56001202).

The spelling of 980042000450 in words is "nine hundred eighty billion, forty-two million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 5 10 25 50 191 382 733 955 1466 1910 3665 4775 7330 9550 18325 36481 36650 72962 140003 182405 280006 364810 537289 700015 912025 1074578 1400030 1824050 2686445 3500075 5372890 7000150 13432225 26740573 26864450 53481146 102622199 133702865 205244398 267405730 513110995 668514325 1026221990 1337028650 2565554975 5131109950 19600840009 39201680018 98004200045 196008400090 490021000225 980042000450