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3799903104 = 27341721559
BaseRepresentation
bin1110001001111101…
…1110101110000000
3100210211012002010000
43202133132232000
530240233344404
61425021040000
7163110433464
oct34237365600
910724162100
103799903104
11167aa45498
128a06b6000
1348733229a
142809484a4
151738ec339
hexe27deb80

3799903104 has 160 divisors (see below), whose sum is σ = 11974208400. Its totient is φ = 1192071168.

The previous prime is 3799903099. The next prime is 3799903127. The reversal of 3799903104 is 4013099973.

It is a self number, because there is not a number n which added to its sum of digits gives 3799903104.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 165477 + ... + 187035.

Almost surely, 23799903104 is an apocalyptic number.

3799903104 is a gapful number since it is divisible by the number (34) 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 3799903104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987104200).

3799903104 is an abundant number, since it is smaller than the sum of its proper divisors (8174305296).

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

3799903104 is a wasteful number, since it uses less digits than its factorization.

3799903104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21602 (or 21581 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3799903104 is about 61643.3540943385. The cubic root of 3799903104 is about 1560.4774869713.

The spelling of 3799903104 in words is "three billion, seven hundred ninety-nine million, nine hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 21559 22032 29376 43118 44064 58752 64677 86236 88128 129354 172472 176256 194031 258708 344944 366503 388062 517416 582093 689888 733006 776124 1034832 1099509 1164186 1379776 1466012 1552248 1746279 2069664 2199018 2328372 2759552 2932024 3104496 3298527 3492558 4139328 4398036 4656744 5864048 6208992 6597054 6985116 8278656 8796072 9313488 9895581 11728096 12417984 13194108 13970232 17592144 18626976 19791162 23456192 24835968 26388216 27940464 29686743 35184288 37253952 39582324 46912384 52776432 55880928 59373486 70368576 74507904 79164648 105552864 111761856 118746972 140737152 158329296 211105728 223523712 237493944 316658592 422211456 474987888 633317184 949975776 1266634368 1899951552 3799903104