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416885531060 = 225192997389999
BaseRepresentation
bin1100001000100000101…
…00000110000110110100
31110212001110200020001002
412010100110012012310
523312240143443220
6515303051422432
742055545355355
oct6042024060664
91425043606032
10416885531060
11150889017849
1268966154a18
13304099c323b
141626a9a5d2c
15ac9e00dc75
hex61105061b4

416885531060 has 96 divisors (see below), whose sum is σ = 963144000000. Its totient is φ = 150957305856.

The previous prime is 416885531059. The next prime is 416885531141. The reversal of 416885531060 is 60135588614.

It is a junction number, because it is equal to n+sod(n) for n = 416885530996 and 416885531014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873941 + ... + 1263939.

It is an arithmetic number, because the mean of its divisors is an integer number (10032750000).

Almost surely, 2416885531060 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 416885531060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572000000).

416885531060 is an abundant number, since it is smaller than the sum of its proper divisors (546258468940).

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

416885531060 is a wasteful number, since it uses less digits than its factorization.

416885531060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390153 (or 390151 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 416885531060 in words is "four hundred sixteen billion, eight hundred eighty-five million, five hundred thirty-one thousand, sixty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 97 116 145 190 194 290 380 388 485 551 580 970 1102 1843 1940 2204 2755 2813 3686 5510 5626 7372 9215 11020 11252 14065 18430 28130 36860 53447 56260 106894 213788 267235 389999 534470 779998 1068940 1559996 1949995 3899990 7409981 7799980 11309971 14819962 22619942 29639924 37049905 37829903 45239884 56549855 74099810 75659806 113099710 148199620 151319612 189149515 214889449 226199420 378299030 429778898 718768157 756598060 859557796 1074447245 1097067187 1437536314 2148894490 2194134374 2875072628 3593840785 4297788980 4388268748 5485335935 7187681570 10970671870 14375363140 20844276553 21941343740 41688553106 83377106212 104221382765 208442765530 416885531060