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640209617160 = 2335149179200033
BaseRepresentation
bin10010101000011110111…
…01111000000100001000
32021012111022100020200020
421110033131320010020
540442122130222120
61210035213540440
764152663646401
oct11241735700410
92235438306606
10640209617160
11227569703063
12a40b0aa4720
13484aa283599
1422db46189a8
15119bee5d640
hex950f778108

640209617160 has 128 divisors (see below), whose sum is σ = 1944330480000. Its totient is φ = 168628576256.

The previous prime is 640209617147. The next prime is 640209617189. The reversal of 640209617160 is 61716902046.

It is a Cunningham number, because it is equal to 8001312-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3100504 + ... + 3300536.

It is an arithmetic number, because the mean of its divisors is an integer number (15190081875).

Almost surely, 2640209617160 is an apocalyptic number.

640209617160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640209617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972165240000).

640209617160 is an abundant number, since it is smaller than the sum of its proper divisors (1304120862840).

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

640209617160 is a wasteful number, since it uses less digits than its factorization.

640209617160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200375 (or 200371 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 640209617160 in words is "six hundred forty billion, two hundred nine million, six hundred seventeen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 179 298 358 447 537 596 716 745 894 895 1074 1192 1432 1490 1788 1790 2148 2235 2685 2980 3576 3580 4296 4470 5370 5960 7160 8940 10740 17880 21480 26671 53342 80013 106684 133355 160026 200033 213368 266710 320052 400065 400066 533420 600099 640104 800130 800132 1000165 1066840 1200198 1600260 1600264 2000330 2400396 3000495 3200520 4000660 4800792 6000990 8001320 12001980 24003960 29804917 35805907 59609834 71611814 89414751 107417721 119219668 143223628 149024585 178829502 179029535 214835442 238439336 286447256 298049170 357659004 358059070 429670884 447073755 537088605 596098340 715318008 716118140 859341768 894147510 1074177210 1192196680 1432236280 1788295020 2148354420 3576590040 4296708840 5335080143 10670160286 16005240429 21340320572 26675400715 32010480858 42680641144 53350801430 64020961716 80026202145 106701602860 128041923432 160052404290 213403205720 320104808580 640209617160