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9699886144 = 261329472
BaseRepresentation
bin10010000100010100…
…01000010001000000
3221001000001021022101
421002022020101000
5124331132324034
64242302120144
7462241446304
oct110212102100
927030037271
109699886144
114128373033
121a68580054
13bb777c900
1468035dd04
153bb87a514
hex242288440

9699886144 has 63 divisors (see below), whose sum is σ = 20864770437. Its totient is φ = 4472143104.

The previous prime is 9699886139. The next prime is 9699886153. The reversal of 9699886144 is 4416889969.

The square root of 9699886144 is 98488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1434894400 + 8264991744 = 37880^2 + 90912^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10242279 + ... + 10243225.

Almost surely, 29699886144 is an apocalyptic number.

9699886144 is the 98488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9699886144

9699886144 is an abundant number, since it is smaller than the sum of its proper divisors (11164884293).

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

9699886144 is an frugal number, since it uses more digits than its factorization.

9699886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 962 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 64.

The cubic root of 9699886144 is about 2132.6628912321.

Multiplying 9699886144 by its sum of digits (64), we get a square (620792713216 = 7879042).

9699886144 divided by its sum of digits (64) gives a square (151560721 = 123112).

The spelling of 9699886144 in words is "nine billion, six hundred ninety-nine million, eight hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 947 1352 1894 2704 3788 5408 7576 10816 12311 15152 24622 30304 49244 60608 98488 160043 196976 320086 393952 640172 787904 896809 1280344 1793618 2560688 3587236 5121376 7174472 10242752 11658517 14348944 23317034 28697888 46634068 57395776 93268136 151560721 186536272 303121442 373072544 606242884 746145088 1212485768 2424971536 4849943072 9699886144