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192688061328 = 24337193353663
BaseRepresentation
bin1011001101110100011…
…0100111101110010000
3200102100202120201022000
42303131012213232100
511124111120430303
6224304125514000
716630663332360
oct2633506475620
9612322521260
10192688061328
117479a429484
1231416a12900
131522a4c8349
14947cd649a0
15502b58dda3
hex2cdd1a7b90

192688061328 has 160 divisors (see below), whose sum is σ = 665366937600. Its totient is φ = 52156151424.

The previous prime is 192688061299. The next prime is 192688061329. The reversal of 192688061328 is 823160886291.

192688061328 is a `hidden beast` number, since 19 + 2 + 6 + 8 + 8 + 0 + 613 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (192688061329) 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, 1619376 + ... + 1734287.

It is an arithmetic number, because the mean of its divisors is an integer number (4158543360).

Almost surely, 2192688061328 is an apocalyptic number.

192688061328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

192688061328 is an abundant number, since it is smaller than the sum of its proper divisors (472678876272).

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

192688061328 is a wasteful number, since it uses less digits than its factorization.

192688061328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353706 (or 3353694 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 192688061328 in words is "one hundred ninety-two billion, six hundred eighty-eight million, sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 3353663 6707326 10060989 13414652 20121978 23475641 26829304 30182967 40243956 46951282 53658608 60365934 63719597 70426923 80487912 90548901 93902564 120731868 127439194 140853846 160975824 181097802 187805128 191158791 211280769 241463736 254878388 281707692 362195604 375610256 382317582 422561538 446037179 482927472 509756776 563415384 573476373 633842307 724391208 764635164 845123076 892074358 1019513552 1126830768 1146952746 1267684614 1338111537 1448782416 1529270328 1690246152 1720429119 1784148716 2293905492 2535369228 2676223074 3058540656 3380492304 3440858238 3568297432 4014334611 4587810984 5070738456 5352446148 6881716476 7136594864 8028669222 9175621968 10141476912 10704892296 12043003833 13763432952 16057338444 21409784592 24086007666 27526865904 32114676888 48172015332 64229353776 96344030664 192688061328