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38430215363385 = 33515712241148123
BaseRepresentation
bin10001011110011101110110…
…10101011101101100111001
312001001220002210012000202000
420233032323111131230321
520014120040113112020
6213422332555331213
711044330363561056
oct1057167325355471
9161056083160660
1038430215363385
111127718777638a
124388049450b09
131859c5253c991
1496c064a9802d
154699d1103090
hex22f3bb55db39

38430215363385 has 64 divisors (see below), whose sum is σ = 68761625583360. Its totient is φ = 20363765160960.

The previous prime is 38430215363357. The next prime is 38430215363387. The reversal of 38430215363385 is 58336351203483.

It is a happy number.

38430215363385 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 0 + 21 + 536 + 3 + 3 + 85 = 666.

It is not a de Polignac number, because 38430215363385 - 211 = 38430215361337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38430215363387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259373934 + ... + 259522056.

It is an arithmetic number, because the mean of its divisors is an integer number (1074400399740).

Almost surely, 238430215363385 is an apocalyptic number.

It is an amenable number.

38430215363385 is a deficient number, since it is larger than the sum of its proper divisors (30331410219975).

38430215363385 is a wasteful number, since it uses less digits than its factorization.

38430215363385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160535 (or 160529 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 38430215363385 in words is "thirty-eight trillion, four hundred thirty billion, two hundred fifteen million, three hundred sixty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 157 471 785 1413 2355 4239 7065 12241 21195 36723 61205 110169 148123 183615 330507 444369 550845 740615 1333107 1652535 1921837 2221845 3999321 5765511 6665535 9609185 17296533 19996605 23255311 28827555 51889599 69765933 86482665 116276555 209297799 259447995 348829665 627893397 1046488995 1813173643 3139466985 5439520929 9065868215 16318562787 27197604645 48955688361 81592813935 244778441805 284668261951 854004785853 1423341309755 2562014357559 4270023929265 7686043072677 12810071787795 38430215363385