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20801921868 = 223271341154873
BaseRepresentation
bin10011010111111001…
…000010001101001100
31222200201111010020200
4103113321002031030
5320100242444433
613320053213500
71334330263350
oct232771021514
958621433220
1020801921868
118905162872
124046631290
131c66881510
1410149d1460
1581b372613
hex4d7e4234c

20801921868 has 144 divisors (see below), whose sum is σ = 66295983936. Its totient is φ = 5352376320.

The previous prime is 20801921857. The next prime is 20801921887. The reversal of 20801921868 is 86812910802.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56880 + ... + 211752.

Almost surely, 220801921868 is an apocalyptic number.

20801921868 is a gapful number since it is divisible by the number (28) 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 20801921868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33147991968).

20801921868 is an abundant number, since it is smaller than the sum of its proper divisors (45494062068).

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

20801921868 is a wasteful number, since it uses less digits than its factorization.

20801921868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154944 (or 154939 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 20801921868 in words is "twenty billion, eight hundred one million, nine hundred twenty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 41 42 52 63 78 82 84 91 117 123 126 156 164 182 234 246 252 273 287 364 369 468 492 533 546 574 738 819 861 1066 1092 1148 1476 1599 1638 1722 2132 2583 3198 3276 3444 3731 4797 5166 6396 7462 9594 10332 11193 14924 19188 22386 33579 44772 67158 134316 154873 309746 464619 619492 929238 1084111 1393857 1858476 2013349 2168222 2787714 3252333 4026698 4336444 5575428 6040047 6349793 6504666 8053396 9756999 12080094 12699586 13009332 14093443 18120141 19049379 19513998 24160188 25399172 28186886 36240282 38098758 39027996 42280329 44448551 56373772 57148137 72480564 76197516 82547309 84560658 88897102 114296274 126840987 133345653 165094618 169121316 177794204 228592548 247641927 253681974 266691306 330189236 400036959 495283854 507363948 533382612 577831163 742925781 800073918 990567708 1155662326 1485851562 1600147836 1733493489 2311324652 2971703124 3466986978 5200480467 6933973956 10400960934 20801921868