Search a number
-
+
19922473080 = 2332597156993
BaseRepresentation
bin10010100011011110…
…001101000001111000
31220102102122111022100
4102203132031001320
5311300123114310
613052515423400
71303461140616
oct224336150170
956372574270
1019922473080
1184a3797994
123a3bbb4b60
131b56602113
14d6dca46b6
157b9054ec0
hex4a378d078

19922473080 has 96 divisors (see below), whose sum is σ = 64815856560. Its totient is φ = 5307095040.

The previous prime is 19922473033. The next prime is 19922473093. The reversal of 19922473080 is 8037422991.

19922473080 is a `hidden beast` number, since 19 + 92 + 2 + 473 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321064 + ... + 378056.

Almost surely, 219922473080 is an apocalyptic number.

19922473080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19922473080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32407928280).

19922473080 is an abundant number, since it is smaller than the sum of its proper divisors (44893383480).

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

19922473080 is a wasteful number, since it uses less digits than its factorization.

19922473080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57981 (or 57974 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19922473080 in words is "nineteen billion, nine hundred twenty-two million, four hundred seventy-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 971 1942 2913 3884 4855 5826 7768 8739 9710 11652 14565 17478 19420 23304 29130 34956 38840 43695 56993 58260 69912 87390 113986 116520 170979 174780 227972 284965 341958 349560 455944 512937 569930 683916 854895 1025874 1139860 1367832 1709790 2051748 2279720 2564685 3419580 4103496 5129370 6839160 10258740 20517480 55340203 110680406 166020609 221360812 276701015 332041218 442721624 498061827 553402030 664082436 830103045 996123654 1106804060 1328164872 1660206090 1992247308 2213608120 2490309135 3320412180 3984494616 4980618270 6640824360 9961236540 19922473080