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6985574420 = 22511216992
BaseRepresentation
bin1101000000101111…
…10110100000010100
3200000211120221121112
412200113312200110
5103301301340140
63113101034152
7335052255116
oct64027664024
920024527545
106985574420
112a651a1500
12142b555958
13874324bb6
144a3a833b6
152ad419c65
hex1a05f6814

6985574420 has 54 divisors (see below), whose sum is σ = 16134049386. Its totient is φ = 2538713760.

The previous prime is 6985574399. The next prime is 6985574437. The reversal of 6985574420 is 244755896.

It can be written as a sum of positive squares in only one way, i.e., 5588459536 + 1397114884 = 74756^2 + 37378^2 .

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, 4110731 + ... + 4112429.

Almost surely, 26985574420 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 6985574420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067024693).

6985574420 is an abundant number, since it is smaller than the sum of its proper divisors (9148474966).

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

6985574420 is a wasteful number, since it uses less digits than its factorization.

6985574420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The square root of 6985574420 is about 83579.7488629871. The cubic root of 6985574420 is about 1911.6162246990.

The spelling of 6985574420 in words is "six billion, nine hundred eighty-five million, five hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1699 2420 3398 6796 8495 16990 18689 33980 37378 74756 93445 186890 205579 373780 411158 822316 1027895 2055790 2886601 4111580 5773202 11546404 14433005 28866010 31752611 57732020 63505222 127010444 158763055 317526110 349278721 635052220 698557442 1397114884 1746393605 3492787210 6985574420