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10990862640 = 2432588117327
BaseRepresentation
bin10100011110001101…
…10100000100110000
31001100222020200010200
422033012310010300
5140002130101030
65014340155200
7536235535212
oct121706640460
931328220120
1010990862640
11473006785a
122168998b00
131062078624
147639b25b2
15444d86d60
hex28f1b4130

10990862640 has 120 divisors (see below), whose sum is σ = 36955009728. Its totient is φ = 2927400960.

The previous prime is 10990862633. The next prime is 10990862653. The reversal of 10990862640 is 4626809901.

It is a happy number.

10990862640 is a `hidden beast` number, since 10 + 9 + 9 + 0 + 8 + 626 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625657 + ... + 642983.

Almost surely, 210990862640 is an apocalyptic number.

10990862640 is a gapful number since it is divisible by the number (10) 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 10990862640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477504864).

10990862640 is an abundant number, since it is smaller than the sum of its proper divisors (25964147088).

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

10990862640 is a wasteful number, since it uses less digits than its factorization.

10990862640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18227 (or 18218 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10990862640 in words is "ten billion, nine hundred ninety million, eight hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 881 1762 2643 3524 4405 5286 7048 7929 8810 10572 13215 14096 15858 17327 17620 21144 26430 31716 34654 35240 39645 42288 51981 52860 63432 69308 70480 79290 86635 103962 105720 126864 138616 155943 158580 173270 207924 211440 259905 277232 311886 317160 346540 415848 519810 623772 634320 693080 779715 831696 1039620 1247544 1386160 1559430 2079240 2495088 3118860 4158480 6237720 12475440 15265087 30530174 45795261 61060348 76325435 91590522 122120696 137385783 152650870 183181044 228976305 244241392 274771566 305301740 366362088 457952610 549543132 610603480 686928915 732724176 915905220 1099086264 1221206960 1373857830 1831810440 2198172528 2747715660 3663620880 5495431320 10990862640