Search a number
-
+
1376092706904 = 2333471031316009
BaseRepresentation
bin10100000001100101100…
…001000101100001011000
311212112221021012110202000
4110001211201011201120
5140021214213110104
62532100202241000
7201263601005046
oct24014541054130
94775837173660
101376092706904
11490663505123
121a28427b6160
139c9c38998b6
144a863423396
1525bde382639
hex14065845858

1376092706904 has 128 divisors (see below), whose sum is σ = 3941713152000. Its totient is φ = 444579086592.

The previous prime is 1376092706887. The next prime is 1376092706921. The reversal of 1376092706904 is 4096072906731.

It is a happy number.

1376092706904 is a `hidden beast` number, since 1 + 3 + 7 + 609 + 27 + 0 + 6 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1376092706887) and next prime (1376092706921).

It is a super-2 number, since 2×13760927069042 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 387652 + ... + 1703660.

It is an arithmetic number, because the mean of its divisors is an integer number (30794634000).

Almost surely, 21376092706904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376092706904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970856576000).

1376092706904 is an abundant number, since it is smaller than the sum of its proper divisors (2565620445096).

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

1376092706904 is a wasteful number, since it uses less digits than its factorization.

1376092706904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316174 (or 1316164 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1376092706904 in words is "one trillion, three hundred seventy-six billion, ninety-two million, seven hundred six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 103 108 141 188 206 216 282 309 376 412 423 564 618 824 846 927 1128 1236 1269 1692 1854 2472 2538 2781 3384 3708 4841 5076 5562 7416 9682 10152 11124 14523 19364 22248 29046 38728 43569 58092 87138 116184 130707 174276 261414 348552 522828 1045656 1316009 2632018 3948027 5264036 7896054 10528072 11844081 15792108 23688162 31584216 35532243 47376324 61852423 71064486 94752648 123704846 135548927 142128972 185557269 247409692 271097854 284257944 371114538 406646781 494819384 542195708 556671807 742229076 813293562 1084391416 1113343614 1219940343 1484458152 1626587124 1670015421 2226687228 2439880686 3253174248 3340030842 3659821029 4453374456 4879761372 6370799569 6680061684 7319642058 9759522744 12741599138 13360123368 14639284116 19112398707 25483198276 29278568232 38224797414 50966396552 57337196121 76449594828 114674392242 152899189656 172011588363 229348784484 344023176726 458697568968 688046353452 1376092706904