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34550964960 = 2535193788483
BaseRepresentation
bin100000001011011001…
…011110001011100000
310022011220201212122220
4200023121132023200
51031230021334320
623512243031040
72332130233161
oct401331361340
9108156655586
1034550964960
11137201343a6
12684306b480
1333481a4285
14195aa1d768
15d73432e40
hex80b65e2e0

34550964960 has 96 divisors (see below), whose sum is σ = 114563756160. Its totient is φ = 8728662528.

The previous prime is 34550964937. The next prime is 34550964971. The reversal of 34550964960 is 6946905543.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1885122 + ... + 1903361.

It is an arithmetic number, because the mean of its divisors is an integer number (1193372460).

Almost surely, 234550964960 is an apocalyptic number.

34550964960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34550964960 is an abundant number, since it is smaller than the sum of its proper divisors (80012791200).

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

34550964960 is a wasteful number, since it uses less digits than its factorization.

34550964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788520 (or 3788512 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 34550964960 in words is "thirty-four billion, five hundred fifty million, nine hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 3788483 7576966 11365449 15153932 18942415 22730898 30307864 37884830 45461796 56827245 60615728 71981177 75769660 90923592 113654490 121231456 143962354 151539320 181847184 215943531 227308980 287924708 303078640 359905885 363694368 431887062 454617960 575849416 606157280 719811770 863774124 909235920 1079717655 1151698832 1439623540 1727548248 1818471840 2159435310 2303397664 2879247080 3455096496 4318870620 5758494160 6910192992 8637741240 11516988320 17275482480 34550964960