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90491414608 = 24719160126561
BaseRepresentation
bin101010001000110110…
…1010110100001010000
322122120111120011020101
41110101231112201100
52440311300231413
6105323213022144
76352314222130
oct1242155264120
9278514504211
1090491414608
1135417054171
1215655484954
1386c188c65a
14454629aac0
15254959aedd
hex1511b56850

90491414608 has 80 divisors (see below), whose sum is σ = 211059527040. Its totient is φ = 36716544000.

The previous prime is 90491414549. The next prime is 90491414641. The reversal of 90491414608 is 80641419409.

It is a super-2 number, since 2×904914146082 (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, 3393648 + ... + 3420208.

It is an arithmetic number, because the mean of its divisors is an integer number (2638244088).

Almost surely, 290491414608 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 90491414608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105529763520).

90491414608 is an abundant number, since it is smaller than the sum of its proper divisors (120568112432).

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

90491414608 is a wasteful number, since it uses less digits than its factorization.

90491414608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28196 (or 28190 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 90491414608 in words is "ninety billion, four hundred ninety-one million, four hundred fourteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1601 2128 3202 6404 11207 12808 22414 25616 26561 30419 44828 53122 60838 89656 106244 121676 179312 185927 212488 212933 243352 371854 424976 425866 486704 504659 743708 851732 1009318 1487416 1703464 2018636 2974832 3406928 3532613 4037272 7065226 8074544 14130452 28260904 42524161 56521808 85048322 170096644 297669127 340193288 595338254 680386576 807959059 1190676508 1615918118 2381353016 3231836236 4762706032 5655713413 6463672472 11311426826 12927344944 22622853652 45245707304 90491414608