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90981373184 = 2813374317183
BaseRepresentation
bin101010010111011101…
…0011001010100000000
322200211122111122001022
41110232322121110000
52442312212420214
6105443554325012
76400413624602
oct1245672312400
9280748448038
1090981373184
1135648682309
1215771589768
13876c23a080
14459139b172
1525775cdd8e
hex152ee99500

90981373184 has 144 divisors (see below), whose sum is σ = 205546209792. Its totient is φ = 39904026624.

The previous prime is 90981373163. The next prime is 90981373229. The reversal of 90981373184 is 48137318909.

It is a super-2 number, since 2×909813731842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5286257 + ... + 5303439.

Almost surely, 290981373184 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 90981373184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102773104896).

90981373184 is an abundant number, since it is smaller than the sum of its proper divisors (114564836608).

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

90981373184 is a wasteful number, since it uses less digits than its factorization.

90981373184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17292 (or 17278 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 90981373184 in words is "ninety billion, nine hundred eighty-one million, three hundred seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 37 43 52 64 74 86 104 128 148 172 208 256 296 344 416 481 559 592 688 832 962 1118 1184 1376 1591 1664 1924 2236 2368 2752 3182 3328 3848 4472 4736 5504 6364 7696 8944 9472 11008 12728 15392 17183 17888 20683 25456 30784 34366 35776 41366 50912 61568 68732 71552 82732 101824 123136 137464 143104 165464 203648 223379 274928 330928 407296 446758 549856 635771 661856 738869 893516 1099712 1271542 1323712 1477738 1787032 2199424 2543084 2647424 2955476 3574064 4398848 5086168 5294848 5910952 7148128 8265023 9605297 10172336 11821904 14296256 16530046 19210594 20344672 23643808 27338153 28592512 33060092 38421188 40689344 47287616 54676306 57185024 66120184 76842376 81378688 94575232 109352612 132240368 153684752 162757376 189150464 218705224 264480736 307369504 355395989 437410448 528961472 614739008 710791978 874820896 1057922944 1229478016 1421583956 1749641792 2115845888 2458956032 2843167912 3499283584 5686335824 6998567168 11372671648 22745343296 45490686592 90981373184