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1692968187768 = 23311131295338083
BaseRepresentation
bin11000101000101100110…
…001000111011101111000
312222211211212022202020220
4120220230301013131320
5210214144324002033
63333423331420040
7233212221106164
oct30505461073570
95884755282226
101692968187768
115a2a90451a20
12234137754620
13c3852971a30
145bd238adca4
152e08831dbb3
hex18a2cc47778

1692968187768 has 128 divisors (see below), whose sum is σ = 4972868570880. Its totient is φ = 473508541440.

The previous prime is 1692968187763. The next prime is 1692968187791. The reversal of 1692968187768 is 8677818692961.

It is a happy number.

It is a super-2 number, since 2×16929681877682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 1692968187693 and 1692968187702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1692968187761) 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, 44435655 + ... + 44473737.

It is an arithmetic number, because the mean of its divisors is an integer number (38850535710).

Almost surely, 21692968187768 is an apocalyptic number.

It is an amenable number.

1692968187768 is an abundant number, since it is smaller than the sum of its proper divisors (3279900383112).

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

1692968187768 is a wasteful number, since it uses less digits than its factorization.

1692968187768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51069 (or 51065 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 78.

The spelling of 1692968187768 in words is "one trillion, six hundred ninety-two billion, nine hundred sixty-eight million, one hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 12953 25906 38083 38859 51812 76166 77718 103624 114249 142483 152332 155436 168389 228498 284966 304664 310872 336778 418913 427449 456996 495079 505167 569932 673556 837826 854898 913992 990158 1010334 1139864 1256739 1347112 1485237 1675652 1709796 1852279 1980316 2020668 2513478 2970474 3351304 3419592 3704558 3960632 4041336 5026956 5445869 5556837 5940948 7409116 10053912 10891738 11113674 11881896 14818232 16337607 21783476 22227348 32675214 43566952 44454696 65350428 130700856 493289099 986578198 1479867297 1973156396 2959734594 3946312792 5426180089 5919469188 6412758287 10852360178 11838938376 12825516574 16278540267 19238274861 21704720356 25651033148 32557080534 38476549722 43409440712 51302066296 65114161068 70540341157 76953099444 130228322136 141080682314 153906198888 211621023471 282161364628 423242046942 564322729256 846484093884 1692968187768