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13327433152 = 2611173730097
BaseRepresentation
bin11000110100110000…
…00111110111000000
31021101210220202022021
430122120013313000
5204243310330102
610042245051224
7651160212145
oct143230076700
937353822267
1013327433152
115719a96870
1226bb3b6b14
131345186327
149060403cc
1553007e137
hex31a607dc0

13327433152 has 112 divisors (see below), whose sum is σ = 31374636768. Its totient is φ = 5547294720.

The previous prime is 13327433143. The next prime is 13327433153. The reversal of 13327433152 is 25133472331.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13327433153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427768 + ... + 457864.

Almost surely, 213327433152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13327433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15687318384).

13327433152 is an abundant number, since it is smaller than the sum of its proper divisors (18047203616).

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

13327433152 is a wasteful number, since it uses less digits than its factorization.

13327433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30174 (or 30164 counting only the distinct ones).

The product of its digits is 45360, while the sum is 34.

The spelling of 13327433152 in words is "thirteen billion, three hundred twenty-seven million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 37 44 64 68 74 88 136 148 176 187 272 296 352 374 407 544 592 629 704 748 814 1088 1184 1258 1496 1628 2368 2516 2992 3256 5032 5984 6512 6919 10064 11968 13024 13838 20128 26048 27676 30097 40256 55352 60194 110704 120388 221408 240776 331067 442816 481552 511649 662134 963104 1023298 1113589 1324268 1926208 2046596 2227178 2648536 4093192 4454356 5297072 5628139 8186384 8908712 10594144 11256278 12249479 16372768 17817424 18931013 21188288 22512556 24498958 32745536 35634848 37862026 45025112 48997916 71269696 75724052 90050224 97995832 151448104 180100448 195991664 208241143 302896208 360200896 391983328 416482286 605792416 783966656 832964572 1211584832 1665929144 3331858288 6663716576 13327433152