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133027467320 = 235111094016917
BaseRepresentation
bin111101111100100001…
…1100001000000111000
3110201100220122112001002
41323321003201000320
54134420012423240
6141040104144132
712416354546456
oct1737103410070
9421326575032
10133027467320
11514645a0140
1221946768048
13c710185307
14661d5c19d6
1536d8a30d15
hex1ef90e1038

133027467320 has 128 divisors (see below), whose sum is σ = 330387076800. Its totient is φ = 47803392000.

The previous prime is 133027467319. The next prime is 133027467343. The reversal of 133027467320 is 23764720331.

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 31 ways as a sum of consecutive naturals, for example, 19228502 + ... + 19235418.

Almost surely, 2133027467320 is an apocalyptic number.

133027467320 is a gapful number since it is divisible by the number (10) 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 133027467320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165193538400).

133027467320 is an abundant number, since it is smaller than the sum of its proper divisors (197359609480).

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

133027467320 is a wasteful number, since it uses less digits than its factorization.

133027467320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 38.

The spelling of 133027467320 in words is "one hundred thirty-three billion, twenty-seven million, four hundred sixty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 401 436 440 545 802 872 1090 1199 1604 2005 2180 2398 3208 4010 4360 4411 4796 5995 6917 8020 8822 9592 11990 13834 16040 17644 22055 23980 27668 34585 35288 43709 44110 47960 55336 69170 76087 87418 88220 138340 152174 174836 176440 218545 276680 304348 349672 380435 437090 480799 608696 753953 760870 874180 961598 1507906 1521740 1748360 1923196 2403995 2773717 3015812 3043480 3769765 3846392 4807990 5547434 6031624 7539530 8293483 9615980 11094868 13868585 15079060 16586966 19231960 22189736 27737170 30158120 30510887 33173932 41467415 55474340 61021774 66347864 82934830 110948680 122043548 152554435 165869660 244087096 302335153 305108870 331739320 604670306 610217740 1209340612 1220435480 1511675765 2418681224 3023351530 3325686683 6046703060 6651373366 12093406120 13302746732 16628433415 26605493464 33256866830 66513733660 133027467320