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630261253440 = 263257213503683
BaseRepresentation
bin10010010101111100111…
…11111000010101000000
32020020210222202000012200
421022332133320111000
540311233340102230
61201312113553200
763351314155500
oct11127637702500
92206728660180
10630261253440
11223324057165
12a2195275800
13475831a5230
142270d297a00
15115db8a0160
hex92be7f8540

630261253440 has 1008 divisors, whose sum is σ = 2725133943168. Its totient is φ = 132519518208.

The previous prime is 630261253429. The next prime is 630261253463. The reversal of 630261253440 is 44352162036.

630261253440 is a `hidden beast` number, since 6 + 3 + 0 + 2 + 612 + 5 + 34 + 4 + 0 = 666.

630261253440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630261253395 and 630261253404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 922783339 + ... + 922784021.

It is an arithmetic number, because the mean of its divisors is an integer number (2703505896).

Almost surely, 2630261253440 is an apocalyptic number.

630261253440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630261253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362566971584).

630261253440 is an abundant number, since it is smaller than the sum of its proper divisors (2094872689728).

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

630261253440 is a wasteful number, since it uses less digits than its factorization.

630261253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 630261253440 in words is "six hundred thirty billion, two hundred sixty-one million, two hundred fifty-three thousand, four hundred forty".