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20988460656 = 24321911716551
BaseRepresentation
bin10011100011000000…
…100111111001110000
32000011201111021100200
4103203000213321300
5320441021220111
613350355315200
71342053654252
oct234300477160
960151437320
1020988460656
1189a0491159
124098babb00
131c964046b7
1410316abcd2
1582c91d256
hex4e3027e70

20988460656 has 120 divisors (see below), whose sum is σ = 61892288640. Its totient is φ = 6621264000.

The previous prime is 20988460583. The next prime is 20988460657. The reversal of 20988460656 is 65606488902.

It is a happy number.

20988460656 is a `hidden beast` number, since 20 + 9 + 8 + 8 + 4 + 606 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20988460657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3200581 + ... + 3207131.

It is an arithmetic number, because the mean of its divisors is an integer number (515769072).

Almost surely, 220988460656 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 20988460656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30946144320).

20988460656 is an abundant number, since it is smaller than the sum of its proper divisors (40903827984).

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

20988460656 is a wasteful number, since it uses less digits than its factorization.

20988460656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20988460656 in words is "twenty billion, nine hundred eighty-eight million, four hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1171 1368 2342 2736 3513 4684 6551 7026 9368 10539 13102 14052 18736 19653 21078 22249 26204 28104 39306 42156 44498 52408 56208 58959 66747 78612 84312 88996 104816 117918 124469 133494 157224 168624 177992 200241 235836 248938 266988 314448 355984 373407 400482 471672 497876 533976 746814 800964 943344 995752 1067952 1120221 1493628 1601928 1991504 2240442 2987256 3203856 4480884 5974512 7671221 8961768 15342442 17923536 23013663 30684884 46027326 61369768 69040989 92054652 122739536 138081978 145753199 184109304 276163956 291506398 368218608 437259597 552327912 583012796 874519194 1104655824 1166025592 1311778791 1749038388 2332051184 2623557582 3498076776 5247115164 6996153552 10494230328 20988460656