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4113020615520 = 253580671106219
BaseRepresentation
bin111011110110100011001…
…000011111101101100000
3112120012102110220211211010
4323312203020133231200
51014341431234144040
612425255014020520
7603104325250605
oct73664310375540
915505373824733
104113020615520
11134635aa02943
1256516a347740
1323ab190474ab
141030dd7746ac
1571ec8369e80
hex3bda321fb60

4113020615520 has 96 divisors (see below), whose sum is σ = 12956297518080. Its totient is φ = 1096781575680.

The previous prime is 4113020615507. The next prime is 4113020615527. The reversal of 4113020615520 is 255160203114.

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

It is a super-4 number, since 4×41130206155204 (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113020615527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38668971 + ... + 38775189.

It is an arithmetic number, because the mean of its divisors is an integer number (134961432480).

Almost surely, 24113020615520 is an apocalyptic number.

4113020615520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113020615520 is an abundant number, since it is smaller than the sum of its proper divisors (8843276902560).

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

4113020615520 is a wasteful number, since it uses less digits than its factorization.

4113020615520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186908 (or 186900 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 4113020615520 its reverse (255160203114), we get a palindrome (4368180818634).

The spelling of 4113020615520 in words is "four trillion, one hundred thirteen billion, twenty million, six hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 80671 106219 161342 212438 242013 318657 322684 403355 424876 484026 531095 637314 645368 806710 849752 968052 1062190 1210065 1274628 1290736 1593285 1613420 1699504 1936104 2124380 2420130 2549256 2581472 3186570 3226840 3399008 3872208 4248760 4840260 5098512 6373140 6453680 7744416 8497520 9680520 10197024 12746280 12907360 16995040 19361040 25492560 38722080 50985120 8568792949 17137585898 25706378847 34275171796 42843964745 51412757694 68550343592 85687929490 102825515388 128531894235 137100687184 171375858980 205651030776 257063788470 274201374368 342751717960 411302061552 514127576940 685503435920 822604123104 1028255153880 1371006871840 2056510307760 4113020615520