Search a number
-
+
20677414560 = 2535113916177
BaseRepresentation
bin10011010000011110…
…000100111010100000
31222101001012111022220
4103100132010322200
5314321404231220
613255444431040
71331256060315
oct232036047240
958331174286
1020677414560
118850952670
1240109a8480
131c46b39b5a
141002260d0c
1581047b540
hex4d0784ea0

20677414560 has 96 divisors (see below), whose sum is σ = 71055133632. Its totient is φ = 5012705280.

The previous prime is 20677414547. The next prime is 20677414627. The reversal of 20677414560 is 6541477602.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952809 + ... + 1963368.

It is an arithmetic number, because the mean of its divisors is an integer number (740157642).

Almost surely, 220677414560 is an apocalyptic number.

20677414560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20677414560 is an abundant number, since it is smaller than the sum of its proper divisors (50377719072).

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

20677414560 is a wasteful number, since it uses less digits than its factorization.

20677414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916206 (or 3916198 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 20677414560 in words is "twenty billion, six hundred seventy-seven million, four hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 3916177 7832354 11748531 15664708 19580885 23497062 31329416 39161770 43077947 46994124 58742655 62658832 78323540 86155894 93988248 117485310 125317664 129233841 156647080 172311788 187976496 215389735 234970620 258467682 313294160 344623576 375952992 430779470 469941240 516935364 626588320 646169205 689247152 861558940 939882480 1033870728 1292338410 1378494304 1723117880 1879764960 2067741456 2584676820 3446235760 4135482912 5169353640 6892471520 10338707280 20677414560