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59050665040 = 2453724312539
BaseRepresentation
bin110110111111101100…
…011010010001010000
312122102100020121000011
4312333230122101100
51431413432240130
643043312404304
74160221241203
oct667754322120
9178370217004
1059050665040
1123052619714
12b53bb46694
135750b7c023
142c0277393a
15180922d52a
hexdbfb1a450

59050665040 has 120 divisors (see below), whose sum is σ = 144396695520. Its totient is φ = 22445627904.

The previous prime is 59050665007. The next prime is 59050665059. The reversal of 59050665040 is 4056605095.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 59050664984 and 59050665002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4703091 + ... + 4715629.

It is an arithmetic number, because the mean of its divisors is an integer number (1203305796).

Almost surely, 259050665040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59050665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72198347760).

59050665040 is an abundant number, since it is smaller than the sum of its proper divisors (85346030480).

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

59050665040 is a wasteful number, since it uses less digits than its factorization.

59050665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 59050665040 in words is "fifty-nine billion, fifty million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 43 74 80 86 148 172 185 215 296 344 370 430 592 688 740 860 1369 1480 1591 1720 2738 2960 3182 3440 5476 6364 6845 7955 10952 12539 12728 13690 15910 21904 25078 25456 27380 31820 50156 54760 58867 62695 63640 100312 109520 117734 125390 127280 200624 235468 250780 294335 463943 470936 501560 539177 588670 927886 941872 1003120 1078354 1177340 1855772 2156708 2319715 2354680 2695885 3711544 4313416 4639430 4709360 5391770 7423088 8626832 9278860 10783540 17165891 18557720 19949549 21567080 34331782 37115440 39899098 43134160 68663564 79798196 85829455 99747745 137327128 159596392 171658910 199495490 274654256 319192784 343317820 398990980 686635640 738133313 797981960 1373271280 1476266626 1595963920 2952533252 3690666565 5905066504 7381333130 11810133008 14762666260 29525332520 59050665040