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138048730435 = 571117104920107
BaseRepresentation
bin1000000010010001011…
…0000111010101000011
3111012022212001010010001
42000210112013111003
54230210433333220
6143230235220431
712654655563520
oct2004426072503
9435285033101
10138048730435
1153600a00470
12229082a7717
131003054a215
14697841a147
1538ce78780a
hex2024587543

138048730435 has 64 divisors (see below), whose sum is σ = 218903731200. Its totient is φ = 80912977920.

The previous prime is 138048730433. The next prime is 138048730529. The reversal of 138048730435 is 534037840831.

It is a happy number.

It is not a de Polignac number, because 138048730435 - 21 = 138048730433 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (138048730433) 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, 6855652 + ... + 6875758.

It is an arithmetic number, because the mean of its divisors is an integer number (3420370800).

Almost surely, 2138048730435 is an apocalyptic number.

138048730435 is a deficient number, since it is larger than the sum of its proper divisors (80855000765).

138048730435 is a wasteful number, since it uses less digits than its factorization.

138048730435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21196.

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 138048730435 in words is "one hundred thirty-eight billion, forty-eight million, seven hundred thirty thousand, four hundred thirty-five".

Divisors: 1 5 7 11 17 35 55 77 85 119 187 385 595 935 1049 1309 5245 6545 7343 11539 17833 20107 36715 57695 80773 89165 100535 124831 140749 196163 221177 341819 403865 624155 703745 980815 1105885 1373141 1548239 1709095 2392733 3760009 6865705 7741195 11963665 18800045 21092243 26320063 105461215 131600315 147645701 232014673 358568131 738228505 1160073365 1624102711 1792840655 2509976917 3944249441 8120513555 12549884585 19721247205 27609746087 138048730435