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7133742147213 = 3311379428314797
BaseRepresentation
bin110011111001111010000…
…1010101010011010001101
3221020222102202101222221000
41213303310022222122031
51413334400442202323
623101110151530513
71334252531521563
oct147636412523215
927228382358830
107133742147213
112300448514020
12972697989a39
133c992a88ca46
141a93bc6d3a33
15c5871d51e43
hex67cf42aa68d

7133742147213 has 64 divisors (see below), whose sum is σ = 11563180876800. Its totient is φ = 4310774354880.

The previous prime is 7133742147137. The next prime is 7133742147223. The reversal of 7133742147213 is 3127412473317.

7133742147213 is a `hidden beast` number, since 7 + 1 + 3 + 3 + 7 + 421 + 4 + 7 + 213 = 666.

It is not a de Polignac number, because 7133742147213 - 218 = 7133741885069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7133742147223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482099931 + ... + 482114727.

It is an arithmetic number, because the mean of its divisors is an integer number (180674701200).

Almost surely, 27133742147213 is an apocalyptic number.

It is an amenable number.

7133742147213 is a deficient number, since it is larger than the sum of its proper divisors (4429438729587).

7133742147213 is a wasteful number, since it uses less digits than its factorization.

7133742147213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479 (or 19473 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 7133742147213 in words is "seven trillion, one hundred thirty-three billion, seven hundred forty-two million, one hundred forty-seven thousand, two hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 379 1137 3411 4169 4283 10233 12507 12849 14797 37521 38547 44391 47113 112563 115641 133173 141339 162767 399519 424017 488301 1272051 1464903 1623257 4394709 4869771 5608063 14609313 16824189 17855827 43827939 50472567 53567481 61688693 63375551 151417701 160702443 185066079 190126653 482107329 555198237 570379959 697131061 1665594711 1711139877 2091393183 6274179549 18822538647 24019333829 72058001487 216174004461 264212672119 648522013383 792638016357 2377914049071 7133742147213