Search a number
-
+
20898224256 = 273713598049
BaseRepresentation
bin10011011101101000…
…011001100010000000
31222221102200210021210
4103131220121202000
5320244421134011
613333413250120
71336606655340
oct233550314200
958842623253
1020898224256
118954559218
124072933940
131c807cbc90
1410236dcd20
15824a466a6
hex4dda19880

20898224256 has 128 divisors (see below), whose sum is σ = 68321232000. Its totient is φ = 5511610368.

The previous prime is 20898224251. The next prime is 20898224257. The reversal of 20898224256 is 65242289802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20898224251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264081 + ... + 333968.

It is an arithmetic number, because the mean of its divisors is an integer number (533759625).

Almost surely, 220898224256 is an apocalyptic number.

20898224256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20898224256 is an abundant number, since it is smaller than the sum of its proper divisors (47423007744).

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

20898224256 is a wasteful number, since it uses less digits than its factorization.

20898224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598086 (or 598074 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 20898224256 in words is "twenty billion, eight hundred ninety-eight million, two hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 598049 1196098 1794147 2392196 3588294 4186343 4784392 7176588 7774637 8372686 9568784 12559029 14353176 15549274 16745372 19137568 23323911 25118058 28706352 31098548 33490744 38275136 46647822 50236116 54422459 57412704 62197096 66981488 76550272 93295644 100472232 108844918 114825408 124394192 133962976 163267377 186591288 200944464 217689836 229650816 248788384 267925952 326534754 373182576 401888928 435379672 497576768 535851904 653069508 746365152 803777856 870759344 995153536 1306139016 1492730304 1607555712 1741518688 2612278032 2985460608 3483037376 5224556064 6966074752 10449112128 20898224256