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4500904412640 = 253561153719413
BaseRepresentation
bin100000101111111001011…
…0011110000010111100000
3120221021121202201100002010
41001133302303300113200
51042220323012201030
613323404213552520
7643115415160146
oct101376263602740
916837552640063
104500904412640
111485906225729
1260837b945740
132685834264cc
14117bb870b596
157c12b1dc6b0
hex417f2cf05e0

4500904412640 has 96 divisors (see below), whose sum is σ = 14410272746016. Its totient is φ = 1180565084160.

The previous prime is 4500904412639. The next prime is 4500904412657. The reversal of 4500904412640 is 462144090054.

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

It is a super-3 number, since 3×45009044126403 (a number of 39 digits) contains 333 as substring.

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, 76830427 + ... + 76888986.

It is an arithmetic number, because the mean of its divisors is an integer number (150107007771).

Almost surely, 24500904412640 is an apocalyptic number.

4500904412640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4500904412640 is an abundant number, since it is smaller than the sum of its proper divisors (9909368333376).

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

4500904412640 is a wasteful number, since it uses less digits than its factorization.

4500904412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153719492 (or 153719484 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 4500904412640 in words is "four trillion, five hundred billion, nine hundred four million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14640 29280 153719413 307438826 461158239 614877652 768597065 922316478 1229755304 1537194130 1844632956 2305791195 2459510608 3074388260 3689265912 4611582390 4919021216 6148776520 7378531824 9223164780 9376884193 12297553040 14757063648 18446329560 18753768386 24595106080 28130652579 36892659120 37507536772 46884420965 56261305158 73785318240 75015073544 93768841930 112522610316 140653262895 150030147088 187537683860 225045220632 281306525790 300060294176 375075367720 450090441264 562613051580 750150735440 900180882528 1125226103160 1500301470880 2250452206320 4500904412640