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11693339504 = 24711431032143
BaseRepresentation
bin10101110001111101…
…00011001101110000
31010011221002012020022
422320332203031300
5142421443331004
65212152503012
7562525513550
oct127076431560
933157065208
1011693339504
114a60649050
1223240aaa68
131144774202
147ccdd3160
154868982be
hex2b8fa3370

11693339504 has 160 divisors (see below), whose sum is σ = 29197369344. Its totient is φ = 4404637440.

The previous prime is 11693339503. The next prime is 11693339507. The reversal of 11693339504 is 40593339611.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11693339503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5455457 + ... + 5457599.

Almost surely, 211693339504 is an apocalyptic number.

11693339504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11693339504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598684672).

11693339504 is an abundant number, since it is smaller than the sum of its proper divisors (17504029840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11693339504 is a wasteful number, since it uses less digits than its factorization.

11693339504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 44.

The spelling of 11693339504 in words is "eleven billion, six hundred ninety-three million, three hundred thirty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 103 112 154 172 176 206 301 308 344 412 473 602 616 688 721 824 946 1133 1204 1232 1442 1648 1892 2143 2266 2408 2884 3311 3784 4286 4429 4532 4816 5768 6622 7568 7931 8572 8858 9064 11536 13244 15001 15862 17144 17716 18128 23573 26488 30002 31003 31724 34288 35432 47146 48719 52976 60004 62006 63448 70864 92149 94292 97438 120008 124012 126896 165011 184298 188584 194876 220729 240016 248024 330022 341033 368596 377168 389752 441458 496048 645043 660044 682066 737192 779504 882916 1013639 1290086 1320088 1364132 1474384 1545103 1765832 2027278 2428019 2580172 2640176 2728264 3090206 3531664 4054556 4856038 5160344 5456528 6180412 7095473 8109112 9491347 9712076 10320688 12360824 14190946 16218224 16996133 18982694 19424152 24721648 28381892 33992266 37965388 38848304 56763784 66439429 67984532 75930776 104404817 113527568 132878858 135969064 151861552 208809634 265757716 271938128 417619268 531515432 730833719 835238536 1063030864 1461667438 1670477072 2923334876 5846669752 11693339504