Search a number
-
+
3545433558270 = 23457388168059
BaseRepresentation
bin110011100101111100010…
…011101100110011111110
3110112221101100201212220000
4303211330103230303332
5431042021442331040
611312425533335130
7514102102002132
oct63457423546376
913487340655800
103545433558270
1111476788a5a3a
124931666374a6
131c944364cb66
14c38581a73c2
1562358da7130
hex3397c4eccfe

3545433558270 has 160 divisors (see below), whose sum is σ = 9674981094240. Its totient is φ = 931425454080.

The previous prime is 3545433558259. The next prime is 3545433558287. The reversal of 3545433558270 is 728553345453.

3545433558270 is a `hidden beast` number, since 3 + 5 + 4 + 54 + 3 + 3 + 5 + 582 + 7 + 0 = 666.

It is a super-2 number, since 2×35454335582702 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52059501 + ... + 52127559.

It is an arithmetic number, because the mean of its divisors is an integer number (60468631839).

Almost surely, 23545433558270 is an apocalyptic number.

3545433558270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545433558270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837490547120).

3545433558270 is an abundant number, since it is smaller than the sum of its proper divisors (6129547535970).

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

3545433558270 is a wasteful number, since it uses less digits than its factorization.

3545433558270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69032 (or 69023 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 3545433558270 in words is "three trillion, five hundred forty-five billion, four hundred thirty-three million, five hundred fifty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 365 405 438 657 730 810 881 1095 1314 1762 1971 2190 2643 3285 3942 4405 5286 5913 6570 7929 8810 9855 11826 13215 15858 19710 23787 26430 29565 39645 47574 59130 64313 68059 71361 79290 118935 128626 136118 142722 192939 204177 237870 321565 340295 356805 385878 408354 578817 612531 643130 680590 713610 964695 1020885 1157634 1225062 1736451 1837593 1929390 2041770 2894085 3062655 3472902 3675186 4968307 5209353 5512779 5788170 6125310 8682255 9187965 9936614 10418706 11025558 14904921 17364510 18375930 24841535 26046765 27563895 29809842 44714763 49683070 52093530 55127790 59959979 74524605 89429526 119919958 134144289 149049210 179879937 223573815 268288578 299799895 359759874 402432867 447147630 539639811 599599790 670721445 804865734 899399685 1079279622 1341442890 1618919433 1798799370 2012164335 2698199055 3237838866 4024328670 4377078467 4856758299 5396398110 8094597165 8754156934 9713516598 13131235401 16189194330 21885392335 24283791495 26262470802 39393706203 43770784670 48567582990 65656177005 78787412406 118181118609 131312354010 196968531015 236362237218 354543355827 393937062030 590905593045 709086711654 1181811186090 1772716779135 3545433558270