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34533492480 = 28335999233
BaseRepresentation
bin100000001010010110…
…110100011100000000
310022010200212011221000
4200022112310130000
51031211033224410
623510420332000
72331525562044
oct401226643400
9108120764830
1034533492480
1113711290033
126839244000
133344697426
141958592024
15d71b30dc0
hex80a5b4700

34533492480 has 144 divisors (see below), whose sum is σ = 122546057760. Its totient is φ = 9208922112.

The previous prime is 34533492391. The next prime is 34533492491. The reversal of 34533492480 is 8429433543.

34533492480 is a `hidden beast` number, since 3 + 4 + 53 + 34 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 465057 + ... + 534176.

It is an arithmetic number, because the mean of its divisors is an integer number (851014290).

Almost surely, 234533492480 is an apocalyptic number.

34533492480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34533492480 is an abundant number, since it is smaller than the sum of its proper divisors (88012565280).

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

34533492480 is an equidigital number, since it uses as much as digits as its factorization.

34533492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999263 (or 999243 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 34533492480 in words is "thirty-four billion, five hundred thirty-three million, four hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 999233 1998466 2997699 3996932 4996165 5995398 7993864 8993097 9992330 11990796 14988495 15987728 17986194 19984660 23981592 26979291 29976990 31975456 35972388 39969320 44965485 47963184 53958582 59953980 63950912 71944776 79938640 89930970 95926368 107917164 119907960 127901824 134896455 143889552 159877280 179861940 191852736 215834328 239815920 255803648 269792910 287779104 319754560 359723880 383705472 431668656 479631840 539585820 575558208 639509120 719447760 767410944 863337312 959263680 1079171640 1151116416 1279018240 1438895520 1726674624 1918527360 2158343280 2302232832 2877791040 3453349248 3837054720 4316686560 5755582080 6906698496 8633373120 11511164160 17266746240 34533492480