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20754535120 = 2451183284153
BaseRepresentation
bin10011010101000100…
…010001001011010000
31222120102022121211221
4103111010101023100
5320001130110440
613311241414424
71333213431514
oct232504211320
958512277757
1020754535120
118890437470
12403279a414
131c59acc717
14100c5b8144
15817111d4a
hex4d51112d0

20754535120 has 80 divisors (see below), whose sum is σ = 53275465152. Its totient is φ = 7456148480.

The previous prime is 20754535099. The next prime is 20754535129. The reversal of 20754535120 is 2153545702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×207545351203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20754535129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69037 + ... + 215116.

Almost surely, 220754535120 is an apocalyptic number.

20754535120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20754535120 is an abundant number, since it is smaller than the sum of its proper divisors (32520930032).

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

20754535120 is a wasteful number, since it uses less digits than its factorization.

20754535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284260 (or 284254 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The spelling of 20754535120 in words is "twenty billion, seven hundred fifty-four million, five hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1660 1826 3320 3652 4565 6640 7304 9130 14608 18260 36520 73040 284153 568306 1136612 1420765 2273224 2841530 3125683 4546448 5683060 6251366 11366120 12502732 15628415 22732240 23584699 25005464 31256830 47169398 50010928 62513660 94338796 117923495 125027320 188677592 235846990 250054640 259431689 377355184 471693980 518863378 943387960 1037726756 1297158445 1886775920 2075453512 2594316890 4150907024 5188633780 10377267560 20754535120