Search a number
-
+
20756744640 = 263352402401
BaseRepresentation
bin10011010101001100…
…101100100111000000
31222120120110212202000
4103111030230213000
5320002211312030
613311401024000
71333241263332
oct232514544700
958516425660
1020756744640
118891706515
124033485000
131c5a3c4328
14100c9d1452
158173eb860
hex4d532c9c0

20756744640 has 112 divisors (see below), whose sum is σ = 73225212960. Its totient is φ = 5535129600.

The previous prime is 20756744633. The next prime is 20756744641. The reversal of 20756744640 is 4644765702.

20756744640 is a `hidden beast` number, since 2 + 0 + 7 + 567 + 4 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20756744641) 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, 1192561 + ... + 1209840.

Almost surely, 220756744640 is an apocalyptic number.

20756744640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20756744640 is an abundant number, since it is smaller than the sum of its proper divisors (52468468320).

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

20756744640 is a wasteful number, since it uses less digits than its factorization.

20756744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402427 (or 2402411 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 20756744640 in words is "twenty billion, seven hundred fifty-six million, seven hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 2402401 4804802 7207203 9609604 12012005 14414406 19219208 21621609 24024010 28828812 36036015 38438416 43243218 48048020 57657624 64864827 72072030 76876832 86486436 96096040 108108045 115315248 129729654 144144060 153753664 172972872 192192080 216216090 230630496 259459308 288288120 324324135 345945744 384384160 432432180 461260992 518918616 576576240 648648270 691891488 768768320 864864360 1037837232 1153152480 1297296540 1383782976 1729728720 2075674464 2306304960 2594593080 3459457440 4151348928 5189186160 6918914880 10378372320 20756744640