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11374097328 = 2433114158379
BaseRepresentation
bin10101001011111001…
…01111001110110000
31002100200101000022000
422211330233032300
5141243232103303
65120350214000
7551601142416
oct124574571660
932320330260
1011374097328
114907421740
1222551b4300
1310c3599c09
1479c8512b6
15468837da3
hex2a5f2f3b0

11374097328 has 160 divisors (see below), whose sum is σ = 36485164800. Its totient is φ = 3362572800.

The previous prime is 11374097321. The next prime is 11374097341. The reversal of 11374097328 is 82379047311.

It is not an unprimeable number, because it can be changed into a prime (11374097321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165643 + ... + 224021.

It is an arithmetic number, because the mean of its divisors is an integer number (228032280).

Almost surely, 211374097328 is an apocalyptic number.

11374097328 is a gapful number since it is divisible by the number (18) 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 11374097328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242582400).

11374097328 is an abundant number, since it is smaller than the sum of its proper divisors (25111067472).

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

11374097328 is a wasteful number, since it uses less digits than its factorization.

11374097328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58448 (or 58436 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11374097328 in words is "eleven billion, three hundred seventy-four million, ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 41 44 48 54 66 72 82 88 99 108 123 132 144 164 176 198 216 246 264 297 328 369 396 432 451 492 528 594 656 738 792 902 984 1107 1188 1353 1476 1584 1804 1968 2214 2376 2706 2952 3608 4059 4428 4752 5412 5904 7216 8118 8856 10824 12177 16236 17712 21648 24354 32472 48708 58379 64944 97416 116758 175137 194832 233516 350274 467032 525411 642169 700548 934064 1050822 1284338 1401096 1576233 1926507 2101644 2393539 2568676 2802192 3152466 3853014 4203288 4787078 5137352 5779521 6304932 7180617 7706028 8406576 9574156 10274704 11559042 12609864 14361234 15412056 17338563 19148312 21541851 23118084 25219728 26328929 28722468 30824112 34677126 38296624 43083702 46236168 52657858 57444936 64625553 69354252 78986787 86167404 92472336 105315716 114889872 129251106 138708504 157973574 172334808 210631432 236960361 258502212 277417008 315947148 344669616 421262864 473920722 517004424 631894296 710881083 947841444 1034008848 1263788592 1421762166 1895682888 2843524332 3791365776 5687048664 11374097328