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625042164352 = 2753169354421
BaseRepresentation
bin10010001100001110110…
…10101000101010000000
32012202100021002210220211
421012013122220222000
540220041243224402
61155050154443504
763105061510354
oct11060732505200
92182307083824
10625042164352
112210960092a1
12a1179433594
1346c30b37738
1422376085464
15113d35bd4d7
hex91876a8a80

625042164352 has 64 divisors (see below), whose sum is σ = 1269468252360. Its totient is φ = 306437713920.

The previous prime is 625042164269. The next prime is 625042164359. The reversal of 625042164352 is 253461240526.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 617003966016 + 8038198336 = 785496^2 + 89656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (625042164359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11458102 + ... + 11512522.

Almost surely, 2625042164352 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 625042164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634734126180).

625042164352 is an abundant number, since it is smaller than the sum of its proper divisors (644426088008).

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

625042164352 is a wasteful number, since it uses less digits than its factorization.

625042164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56181 (or 56169 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 625042164352 in words is "six hundred twenty-five billion, forty-two million, one hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1693 1696 3386 3392 6772 6784 13544 27088 54176 54421 89729 108352 108842 179458 216704 217684 358916 435368 717832 870736 1435664 1741472 2871328 2884313 3482944 5742656 5768626 6965888 11485312 11537252 23074504 46149008 92134753 92298016 184269506 184596032 368539012 369192064 737078024 1474156048 2948312096 4883141909 5896624192 9766283818 11793248384 19532567636 39065135272 78130270544 156260541088 312521082176 625042164352