Search a number
-
+
45740614217870 = 2511132111223123953
BaseRepresentation
bin10100110011001110100010…
…00011111111000010001110
312222221202112001100120111002
422121213101003333002032
521443403234214432440
6241140540441500302
712430436026556645
oct1231472103770216
9188852461316432
1045740614217870
11136355382a8240
125168a071a1692
131c6a4241b4430
14b41c0113c35c
15544c41da8115
hex2999d10ff08e

45740614217870 has 128 divisors (see below), whose sum is σ = 97265676469248. Its totient is φ = 15268109875200.

The previous prime is 45740614217813. The next prime is 45740614217891. The reversal of 45740614217870 is 7871241604754.

It is a happy number.

45740614217870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×457406142178702 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 368953814 + ... + 369077766.

It is an arithmetic number, because the mean of its divisors is an integer number (759888097416).

Almost surely, 245740614217870 is an apocalyptic number.

45740614217870 is an abundant number, since it is smaller than the sum of its proper divisors (51525062251378).

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

45740614217870 is a wasteful number, since it uses less digits than its factorization.

45740614217870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125418.

The product of its (nonzero) digits is 10536960, while the sum is 56.

The spelling of 45740614217870 in words is "forty-five trillion, seven hundred forty billion, six hundred fourteen million, two hundred seventeen thousand, eight hundred seventy".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 211 286 422 715 1055 1223 1430 2110 2321 2446 2743 4642 5486 6115 11605 12230 13453 13715 15899 23210 26906 27430 30173 31798 60346 67265 79495 123953 134530 150865 158990 174889 247906 258053 301730 349778 516106 619765 874445 1239530 1290265 1363483 1611389 1748890 2580530 2726966 2838583 3222778 3354689 5677166 6709378 6817415 8056945 13634830 14192915 16113890 16773445 17725279 26154083 28385830 33546890 35450558 36901579 52308166 73803158 88626395 130770415 151594519 177252790 184507895 261540830 287694913 303189038 340003079 369015790 575389826 680006158 757972595 1438474565 1515945190 1667539709 1700015395 1970728747 2876949130 3335079418 3400030790 3740033869 3941457494 7480067738 8337698545 9853643735 16675397090 18700169345 19707287470 21678016217 31986443509 37400338690 43356032434 63972887018 108390081085 159932217545 216780162170 319864435090 351850878599 415823765617 703701757198 831647531234 1759254392995 2079118828085 3518508785990 4158237656170 4574061421787 9148122843574 22870307108935 45740614217870