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1631206656 = 28326710567
BaseRepresentation
bin110000100111010…
…0011110100000000
311012200101212212100
41201032203310000
511320042103111
6425510230400
755265012352
oct14116436400
94180355770
101631206656
11767856782
12396355400
131ccc41051
141168d90d2
1598315756
hex613a3d00

1631206656 has 108 divisors (see below), whose sum is σ = 4773819232. Its totient is φ = 535569408.

The previous prime is 1631206651. The next prime is 1631206663. The reversal of 1631206656 is 6566021361.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1631206656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631206651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149085 + ... + 159651.

Almost surely, 21631206656 is an apocalyptic number.

1631206656 is a gapful number since it is divisible by the number (16) 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 1631206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386909616).

1631206656 is an abundant number, since it is smaller than the sum of its proper divisors (3142612576).

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

1631206656 is a wasteful number, since it uses less digits than its factorization.

1631206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1631206656 is about 40388.1994646951. The cubic root of 1631206656 is about 1177.1622550879.

The spelling of 1631206656 in words is "one billion, six hundred thirty-one million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 536 576 603 768 804 1072 1152 1206 1608 2144 2304 2412 3216 4288 4824 6432 8576 9648 10567 12864 17152 19296 21134 25728 31701 38592 42268 51456 63402 77184 84536 95103 126804 154368 169072 190206 253608 338144 380412 507216 676288 707989 760824 1014432 1352576 1415978 1521648 2028864 2123967 2705152 2831956 3043296 4057728 4247934 5663912 6086592 6371901 8115456 8495868 11327824 12173184 12743802 16991736 22655648 24346368 25487604 33983472 45311296 50975208 67966944 90622592 101950416 135933888 181245184 203900832 271867776 407801664 543735552 815603328 1631206656