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20528803968 = 2731729108439
BaseRepresentation
bin10011000111100111…
…001011000010000000
31221222200120021220220
4103013213023002000
5314020333211333
613233015303040
71324502645301
oct230747130200
957880507826
1020528803968
118784a7a2a2
123b8b07aa80
131c221064aa
14dca6187a8
158023c38b3
hex4c79cb080

20528803968 has 128 divisors (see below), whose sum is σ = 59728752000. Its totient is φ = 6218268672.

The previous prime is 20528803963. The next prime is 20528803979. The reversal of 20528803968 is 86930882502.

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 (51).

It is a self number, because there is not a number n which added to its sum of digits gives 20528803968.

It is not an unprimeable number, because it can be changed into a prime (20528803963) 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, 135093 + ... + 243531.

It is an arithmetic number, because the mean of its divisors is an integer number (466630875).

Almost surely, 220528803968 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 20528803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29864376000).

20528803968 is an abundant number, since it is smaller than the sum of its proper divisors (39199948032).

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

20528803968 is a wasteful number, since it uses less digits than its factorization.

20528803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108502 (or 108490 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 20528803968 in words is "twenty billion, five hundred twenty-eight million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 272 348 384 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2176 2784 2958 3264 3712 3944 5568 5916 6528 7888 11136 11832 15776 23664 31552 47328 63104 94656 108439 189312 216878 325317 433756 650634 867512 1301268 1735024 1843463 2602536 3144731 3470048 3686926 5205072 5530389 6289462 6940096 7373852 9434193 10410144 11060778 12578924 13880192 14747704 18868386 20820288 22121556 25157848 29495408 37736772 41640576 44243112 50315696 53460427 58990816 75473544 88486224 100631392 106920854 117981632 150947088 160381281 176972448 201262784 213841708 235963264 301894176 320762562 353944896 402525568 427683416 603788352 641525124 707889792 855366832 1207576704 1283050248 1710733664 2566100496 3421467328 5132200992 6842934656 10264401984 20528803968