Search a number
-
+
192696021420 = 22357761602891
BaseRepresentation
bin1011001101110110010…
…0111111000110101100
3200102101022120010111020
42303131210333012230
511124120140141140
6224305012254140
716631121104550
oct2633544770654
9612338503436
10192696021420
11747a3975a71
1231419611350
131522c054566
149480037860
15502c1126d0
hex2cdd93f1ac

192696021420 has 96 divisors (see below), whose sum is σ = 617438578176. Its totient is φ = 43986854400.

The previous prime is 192696021317. The next prime is 192696021451. The reversal of 192696021420 is 24120696291.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18175 + ... + 621065.

It is an arithmetic number, because the mean of its divisors is an integer number (6431651856).

Almost surely, 2192696021420 is an apocalyptic number.

192696021420 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 192696021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308719289088).

192696021420 is an abundant number, since it is smaller than the sum of its proper divisors (424742556756).

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

192696021420 is a wasteful number, since it uses less digits than its factorization.

192696021420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603671 (or 603669 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 192696021420 in words is "one hundred ninety-two billion, six hundred ninety-six million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 761 1522 2283 3044 3805 4566 5327 7610 9132 10654 11415 15220 15981 21308 22830 26635 31962 45660 53270 63924 79905 106540 159810 319620 602891 1205782 1808673 2411564 3014455 3617346 4220237 6028910 7234692 8440474 9043365 12057820 12660711 16880948 18086730 21101185 25321422 36173460 42202370 50642844 63303555 84404740 126607110 253214220 458800051 917600102 1376400153 1835200204 2294000255 2752800306 3211600357 4588000510 5505600612 6423200714 6882000765 9176001020 9634801071 12846401428 13764001530 16058001785 19269602142 27528003060 32116003570 38539204284 48174005355 64232007140 96348010710 192696021420