Search a number
-
+
189921316480 = 2757311367521
BaseRepresentation
bin1011000011100000110…
…0010100111010000000
3200011012221110111212121
42300320030110322000
511102424324111410
6223125412534024
716502266361020
oct2607014247200
9604187414777
10189921316480
11735aa6a5095
1230984321314
1314ba924290c
149299719a80
154e187229da
hex2c38314e80

189921316480 has 128 divisors (see below), whose sum is σ = 535631016960. Its totient is φ = 63015321600.

The previous prime is 189921316469. The next prime is 189921316493. The reversal of 189921316480 is 84613129981.

It is a tau number, because it is divible by the number of its divisors (128).

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, 544881 + ... + 822640.

It is an arithmetic number, because the mean of its divisors is an integer number (4184617320).

Almost surely, 2189921316480 is an apocalyptic number.

189921316480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189921316480 is an abundant number, since it is smaller than the sum of its proper divisors (345709700480).

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

189921316480 is a wasteful number, since it uses less digits than its factorization.

189921316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367578 (or 1367566 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 189921316480 in words is "one hundred eighty-nine billion, nine hundred twenty-one million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 27776 34720 69440 138880 1367521 2735042 5470084 6837605 9572647 10940168 13675210 19145294 21880336 27350420 38290588 42393151 43760672 47863235 54700840 76581176 84786302 87521344 95726470 109401680 153162352 169572604 175042688 191452940 211965755 218803360 296752057 306324704 339145208 382905880 423931510 437606720 593504114 612649408 678290416 765811760 847863020 875213440 1187008228 1225298816 1356580832 1483760285 1531623520 1695726040 2374016456 2713161664 2967520570 3063247040 3391452080 4748032912 5426323328 5935041140 6126494080 6782904160 9496065824 11870082280 13565808320 18992131648 23740164560 27131616640 37984263296 47480329120 94960658240 189921316480