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4615120640 = 28513337823
BaseRepresentation
bin1000100110001010…
…10010011100000000
3102220122011102100002
410103011102130000
533422432330030
62041542015132
7222236610134
oct42305223400
912818142302
104615120640
111a5912a499
12a897174a8
135871b2820
1431ad153c4
151c027d245
hex113152700

4615120640 has 144 divisors (see below), whose sum is σ = 11954849088. Its totient is φ = 1696923648.

The previous prime is 4615120603. The next prime is 4615120649. The reversal of 4615120640 is 460215164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4615120649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607269 + ... + 5608091.

Almost surely, 24615120640 is an apocalyptic number.

4615120640 is a gapful number since it is divisible by the number (40) 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 4615120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977424544).

4615120640 is an abundant number, since it is smaller than the sum of its proper divisors (7339728448).

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

4615120640 is a wasteful number, since it uses less digits than its factorization.

4615120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4615120640 is about 67934.6792146691. The cubic root of 4615120640 is about 1664.9237659246.

The spelling of 4615120640 in words is "four billion, six hundred fifteen million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 337 416 520 640 674 823 832 1040 1280 1348 1646 1664 1685 2080 2696 3292 3328 3370 4115 4160 4381 5392 6584 6740 8230 8320 8762 10699 10784 13168 13480 16460 16640 17524 21398 21568 21905 26336 26960 32920 35048 42796 43136 43810 52672 53495 53920 65840 70096 85592 86272 87620 105344 106990 107840 131680 140192 171184 175240 210688 213980 215680 263360 277351 280384 342368 350480 427960 431360 526720 554702 560768 684736 700960 855920 1053440 1109404 1121536 1369472 1386755 1401920 1711840 2218808 2738944 2773510 2803840 3423680 3605563 4437616 5547020 5607680 6847360 7211126 8875232 11094040 13694720 14422252 17750464 18027815 22188080 28844504 35500928 36055630 44376160 57689008 71001856 72111260 88752320 115378016 144222520 177504640 230756032 288445040 355009280 461512064 576890080 923024128 1153780160 2307560320 4615120640