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90018497008 = 241119237316033
BaseRepresentation
bin101001111010110000…
…1010100000111110000
322121100112200110020201
41103311201110013300
52433324213401013
6105204240444544
76334512412456
oct1236541240760
9277315613221
1090018497008
11351a4105180
1215543019754
1386478ca55b
1444dd5549d6
15251ccd23dd
hex14f58541f0

90018497008 has 160 divisors (see below), whose sum is σ = 211864296960. Its totient is φ = 36568350720.

The previous prime is 90018497003. The next prime is 90018497029. The reversal of 90018497008 is 80079481009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90018497003) by changing a digit.

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, 5606560 + ... + 5622592.

It is an arithmetic number, because the mean of its divisors is an integer number (1324151856).

Almost surely, 290018497008 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 90018497008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105932148480).

90018497008 is an abundant number, since it is smaller than the sum of its proper divisors (121845799952).

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

90018497008 is a wasteful number, since it uses less digits than its factorization.

90018497008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16167 (or 16161 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 90018497008 in words is "ninety billion, eighteen million, four hundred ninety-seven thousand, eight".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 73 76 88 92 146 152 176 184 209 253 292 304 368 418 437 506 584 803 836 874 1012 1168 1387 1606 1672 1679 1748 2024 2774 3212 3344 3358 3496 4048 4807 5548 6424 6716 6992 9614 11096 12848 13432 15257 16033 18469 19228 22192 26864 30514 31901 32066 36938 38456 61028 63802 64132 73876 76912 122056 127604 128264 147752 176363 244112 255208 256528 295504 304627 350911 352726 368759 510416 609254 701822 705452 737518 1170409 1218508 1403644 1410904 1475036 2340818 2437016 2807288 2821808 2950072 3350897 4056349 4681636 4874032 5614576 5900144 6701794 7006421 8112698 9363272 12874499 13403588 14012842 16225396 18726544 22237771 25748998 26807176 26919407 28025684 32450792 44475542 51497996 53614352 53838814 56051368 64901584 77070631 88951084 102995992 107677628 112102736 154141262 177902168 205991984 215355256 244615481 296113477 308282524 355804336 430710512 489230962 511468733 592226954 616565048 978461924 1022937466 1184453908 1233130096 1956923848 2045874932 2368907816 3913847696 4091749864 4737815632 5626156063 8183499728 11252312126 22504624252 45009248504 90018497008