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138834846964 = 221129243744647
BaseRepresentation
bin1000000101001100110…
…0111010010011110100
3111021100122020222021001
42001103030322103310
54233313210100324
6143440240333044
713013312504452
oct2012314722364
9437318228231
10138834846964
1153974719450
1222aa7614184
131012737ba28
146a109ad9d2
1539287bae44
hex205333a4f4

138834846964 has 48 divisors (see below), whose sum is σ = 274306596480. Its totient is φ = 60904287360.

The previous prime is 138834846881. The next prime is 138834846967. The reversal of 138834846964 is 469648438831.

138834846964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1388348469642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138834846896 and 138834846905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138834846967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087289 + ... + 3131935.

It is an arithmetic number, because the mean of its divisors is an integer number (5714720760).

Almost surely, 2138834846964 is an apocalyptic number.

It is an amenable number.

138834846964 is a deficient number, since it is larger than the sum of its proper divisors (135471749516).

138834846964 is a wasteful number, since it uses less digits than its factorization.

138834846964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47128 (or 47126 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 64.

The spelling of 138834846964 in words is "one hundred thirty-eight billion, eight hundred thirty-four million, eight hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 29 44 58 116 319 638 1276 2437 4874 9748 26807 44647 53614 70673 89294 107228 141346 178588 282692 491117 777403 982234 1294763 1554806 1964468 2589526 3109612 5179052 14242393 28484786 56969572 108804739 217609478 435218956 1196852129 2393704258 3155337431 4787408516 6310674862 12621349724 34708711741 69417423482 138834846964