Search a number
-
+
921457821840 = 243546320274091
BaseRepresentation
bin11010110100010110010…
…10101000100010010000
310021002102222110101002120
431122023022220202100
5110044121200244330
61543151211014240
7123400404152613
oct15321312504220
93232388411076
10921457821840
11325873a10a56
1212a70243a380
1368b7c1a8bca
143285515217a
1518e8125ec10
hexd68b2a8890

921457821840 has 160 divisors (see below), whose sum is σ = 2864801212416. Its totient is φ = 245010501120.

The previous prime is 921457821839. The next prime is 921457821841. The reversal of 921457821840 is 48128754129.

It is an interprime number because it is at equal distance from previous prime (921457821839) and next prime (921457821841).

It is not an unprimeable number, because it can be changed into a prime (921457821841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225238195 + ... + 225242285.

Almost surely, 2921457821840 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 921457821840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432400606208).

921457821840 is an abundant number, since it is smaller than the sum of its proper divisors (1943343390576).

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

921457821840 is a wasteful number, since it uses less digits than its factorization.

921457821840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 921457821840 in words is "nine hundred twenty-one billion, four hundred fifty-seven million, eight hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 463 926 1389 1852 2027 2315 2778 3704 4054 4091 4630 5556 6081 6945 7408 8108 8182 9260 10135 11112 12162 12273 13890 16216 16364 18520 20270 20455 22224 24324 24546 27780 30405 32432 32728 37040 40540 40910 48648 49092 55560 60810 61365 65456 81080 81820 97296 98184 111120 121620 122730 162160 163640 196368 243240 245460 327280 486480 490920 938501 981840 1877002 1894133 2815503 3754004 3788266 4692505 5631006 5682399 7508008 7576532 8292457 9385010 9470665 11262012 11364798 14077515 15016016 15153064 16584914 18770020 18941330 22524024 22729596 24877371 28155030 28411995 30306128 33169828 37540040 37882660 41462285 45048048 45459192 49754742 56310060 56823990 66339656 75080080 75765320 82924570 90918384 99509484 112620120 113647980 124386855 132679312 151530640 165849140 199018968 225240240 227295960 248773710 331698280 398037936 454591920 497547420 663396560 995094840 1990189680 3839407591 7678815182 11518222773 15357630364 19197037955 23036445546 30715260728 38394075910 46072891092 57591113865 61430521456 76788151820 92145782184 115182227730 153576303640 184291564368 230364455460 307152607280 460728910920 921457821840