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97662143920 = 245111019531153
BaseRepresentation
bin101101011110100011…
…1100000110110110000
3100100002020112221121111
41122331013200312300
53100003002101140
6112510530403104
710025105345365
oct1327507406660
9310066487544
1097662143920
1138466809240
1216b16a30494
139295371853
144a2677a46c
152818d8b7ea
hex16bd1e0db0

97662143920 has 160 divisors (see below), whose sum is σ = 250638940224. Its totient is φ = 35094528000.

The previous prime is 97662143897. The next prime is 97662143927. The reversal of 97662143920 is 2934126679.

It is not an unprimeable number, because it can be changed into a prime (97662143927) 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, 84702064 + ... + 84703216.

Almost surely, 297662143920 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 97662143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125319470112).

97662143920 is an abundant number, since it is smaller than the sum of its proper divisors (152976796304).

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

97662143920 is a wasteful number, since it uses less digits than its factorization.

97662143920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 97662143920 in words is "ninety-seven billion, six hundred sixty-two million, one hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 953 1010 1111 1153 1616 1906 2020 2222 2306 3812 4040 4444 4612 4765 5555 5765 7624 8080 8888 9224 9530 10483 11110 11530 12683 15248 17776 18448 19060 20966 22220 23060 25366 38120 41932 44440 46120 50732 52415 63415 76240 83864 88880 92240 96253 101464 104830 116453 126830 167728 192506 202928 209660 232906 253660 385012 419320 465812 481265 507320 582265 770024 838640 931624 962530 1014640 1058783 1098809 1164530 1280983 1540048 1863248 1925060 2117566 2197618 2329060 2561966 3850120 4235132 4395236 4658120 5123932 5293915 5494045 6404915 7700240 8470264 8790472 9316240 10247864 10587830 10988090 12086899 12809830 16940528 17580944 20495728 21175660 21976180 24173798 25619660 42351320 43952360 48347596 51239320 60434495 84702640 87904720 96695192 102478640 110979709 120868990 193390384 221959418 241737980 443918836 483475960 554898545 887837672 966951920 1109797090 1220776799 1775675344 2219594180 2441553598 4439188360 4883107196 6103883995 8878376720 9766214392 12207767990 19532428784 24415535980 48831071960 97662143920