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1131090148608 = 28371712376249
BaseRepresentation
bin10000011101011010001…
…110011111110100000000
311000010112121122221212020
4100131122032133310000
5122012433034223413
62223340551201440
7144501316426140
oct20353216376400
94003477587766
101131090148608
113a67689a0892
12163267976280
1382879c82004
143ca60608920
151e650166c23
hex1075a39fd00

1131090148608 has 144 divisors (see below), whose sum is σ = 3642775920000. Its totient is φ = 304158670848.

The previous prime is 1131090148577. The next prime is 1131090148619. The reversal of 1131090148608 is 8068410901311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1131090148608.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6096733 + ... + 6279516.

It is an arithmetic number, because the mean of its divisors is an integer number (25297055000).

Almost surely, 21131090148608 is an apocalyptic number.

It is an amenable number.

1131090148608 is an abundant number, since it is smaller than the sum of its proper divisors (2511685771392).

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

1131090148608 is a wasteful number, since it uses less digits than its factorization.

1131090148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376292 (or 12376278 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 1131090148608 in words is "one trillion, one hundred thirty-one billion, ninety million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3808 4352 5376 5712 6528 7616 11424 13056 15232 22848 30464 45696 91392 12376249 24752498 37128747 49504996 74257494 86633743 99009992 148514988 173267486 198019984 210396233 259901229 297029976 346534972 396039968 420792466 519802458 594059952 631188699 693069944 792079936 841584932 1039604916 1188119904 1262377398 1386139888 1472773631 1584159872 1683169864 2079209832 2376239808 2524754796 2772279776 2945547262 3168319744 3366339728 4158419664 4418320893 4752479616 5049509592 5544559552 5891094524 6732679456 8316839328 8836641786 9504959232 10099019184 11089119104 11782189048 13465358912 16633678656 17673283572 20198038368 22178238208 23564378096 26930717824 33267357312 35346567144 40396076736 47128756192 53861435648 66534714624 70693134288 80792153472 94257512384 141386268576 161584306944 188515024768 282772537152 377030049536 565545074304 1131090148608