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93340404339 = 37213456110709
BaseRepresentation
bin101011011101110000…
…1011000101001110011
322220221001102211102120
41112323201120221303
53012130120414324
6110514024445323
76513030226500
oct1267341305163
9286831384376
1093340404339
1136649252336
121610b619843
138a56bb01b0
1447367d44a7
152664761179
hex15bb858a73

93340404339 has 48 divisors (see below), whose sum is σ = 155957991840. Its totient is φ = 49219107840.

The previous prime is 93340404331. The next prime is 93340404349.

93340404339 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 93340404339 - 23 = 93340404331 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93340404339.

It is not an unprimeable number, because it can be changed into a prime (93340404331) 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, 8710717 + ... + 8721425.

It is an arithmetic number, because the mean of its divisors is an integer number (3249124830).

Almost surely, 293340404339 is an apocalyptic number.

93340404339 is a deficient number, since it is larger than the sum of its proper divisors (62617587501).

93340404339 is a wasteful number, since it uses less digits than its factorization.

93340404339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 15293 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 42.

The spelling of 93340404339 in words is "ninety-three billion, three hundred forty million, four hundred four thousand, three hundred thirty-nine".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 4561 10709 13683 31927 32127 59293 74963 95781 139217 177879 223489 224889 415051 417651 524741 670467 974519 1245153 1574223 2905357 2923557 6821633 8716071 20464899 48843749 146531247 341906243 634968737 1025718729 1904906211 2393343701 4444781159 7180031103 13334343477 31113468113 93340404339