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78152307566157 = 32114161315640643
BaseRepresentation
bin10001110001010001000000…
…100001111110011001001101
3101020201021202200120012012200
4101301101000201332121031
540220421411214104112
6434114401403152113
722314214015426536
oct2161210041763115
9336637680505180
1078152307566157
11229a1231216080
128922535815639
13347b966c71276
14154284013368d
15907dc2e03cdc
hex47144087e64d

78152307566157 has 48 divisors (see below), whose sum is σ = 128220804968256. Its totient is φ = 45452252448000.

The previous prime is 78152307566141. The next prime is 78152307566213. The reversal of 78152307566157 is 75166570325187.

78152307566157 is a `hidden beast` number, since 7 + 8 + 1 + 5 + 2 + 3 + 0 + 7 + 5 + 6 + 615 + 7 = 666.

It is not a de Polignac number, because 78152307566157 - 24 = 78152307566141 is a prime.

It is a super-2 number, since 2×781523075661572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78152307566094 and 78152307566103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78152307566117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157572723 + ... + 158067920.

It is an arithmetic number, because the mean of its divisors is an integer number (2671266770172).

Almost surely, 278152307566157 is an apocalyptic number.

It is an amenable number.

78152307566157 is a deficient number, since it is larger than the sum of its proper divisors (50068497402099).

78152307566157 is a wasteful number, since it uses less digits than its factorization.

78152307566157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315640762 (or 315640759 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 78152307566157 in words is "seventy-eight trillion, one hundred fifty-two billion, three hundred seven million, five hundred sixty-six thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 33 41 61 99 123 183 369 451 549 671 1353 2013 2501 4059 6039 7503 22509 27511 82533 247599 315640643 946921929 2840765787 3472047073 10416141219 12941266363 19254079223 31248423657 38823799089 57762237669 116471397267 142353929993 173286713007 211794871453 427061789979 635384614359 789417248143 1281185369937 1906153843077 2368251744429 7104755233287 8683589729573 26050769188719 78152307566157