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104067337413456 = 24368922096829
BaseRepresentation
bin10111101010011000010000…
…101011011110001101010000
3111122110201222200020021000000
4113222120100223132031100
5102120014401334212311
61005155512543130000
730630421430545134
oct2752302053361520
9448421880207000
10104067337413456
1130182789a3816a
12b808b448a3900
13460b67a871a11
141b9ac592b33c4
15c0706c246056
hex5ea610ade350

104067337413456 has 70 divisors (see below), whose sum is σ = 302307406890890. Its totient is φ = 34689112467264.

The previous prime is 104067337413439. The next prime is 104067337413503. The reversal of 104067337413456 is 654314733760401.

104067337413456 is a `hidden beast` number, since 1 + 0 + 40 + 6 + 73 + 3 + 74 + 13 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96797735125056 + 7269602288400 = 9838584^2 + 2696220^2 .

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 13 ways as a sum of consecutive naturals, for example, 4461036751 + ... + 4461060078.

Almost surely, 2104067337413456 is an apocalyptic number.

104067337413456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104067337413456 is an abundant number, since it is smaller than the sum of its proper divisors (198240069477434).

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

104067337413456 is an frugal number, since it uses more digits than its factorization.

104067337413456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8922096855 (or 8922096834 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 104067337413456 in words is "one hundred four trillion, sixty-seven billion, three hundred thirty-seven million, four hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 8922096829 17844193658 26766290487 35688387316 53532580974 71376774632 80298871461 107065161948 142753549264 160597742922 214130323896 240896614383 321195485844 428260647792 481793228766 642390971688 722689843149 963586457532 1284781943376 1445379686298 1927172915064 2168069529447 2890759372596 3854345830128 4336139058894 5781518745192 6504208588341 8672278117788 11563037490384 13008417176682 17344556235576 26016834353364 34689112471152 52033668706728 104067337413456