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145882662380 = 22571326918923
BaseRepresentation
bin1000011111011101001…
…0001100010111101100
3111221112210222002110122
42013313102030113230
54342231430144010
6151003443424112
713353052112330
oct2076722142754
9457483862418
10145882662380
1156960a61494
1224333985038
13109ab556900
1470bca157c0
153bdc3cc855
hex21f748c5ec

145882662380 has 144 divisors (see below), whose sum is σ = 379713487104. Its totient is φ = 46097475840.

The previous prime is 145882662371. The next prime is 145882662391. The reversal of 145882662380 is 83266288541.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16344599 + ... + 16353521.

It is an arithmetic number, because the mean of its divisors is an integer number (2636899216).

Almost surely, 2145882662380 is an apocalyptic number.

145882662380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145882662380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189856743552).

145882662380 is an abundant number, since it is smaller than the sum of its proper divisors (233830824724).

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

145882662380 is a wasteful number, since it uses less digits than its factorization.

145882662380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9656 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 145882662380 in words is "one hundred forty-five billion, eight hundred eighty-two million, six hundred sixty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 691 845 910 1183 1382 1690 1820 2366 2764 3380 3455 4732 4837 5915 6910 8923 8983 9674 11830 13820 17846 17966 19348 23660 24185 35692 35932 44615 44915 48370 62461 62881 89230 89830 96740 115999 116779 124922 125762 178460 179660 231998 233558 249844 251524 312305 314405 463996 467116 579995 583895 624610 628810 811993 817453 1159990 1167790 1249220 1257620 1507987 1623986 1634906 2319980 2335580 3015974 3247972 3269812 4059965 4087265 6031948 6165793 7539935 8119930 8174530 10555909 12331586 15079870 16239860 16349060 21111818 24663172 30159740 30828965 42223636 43160551 52779545 61657930 80155309 86321102 105559090 123315860 160310618 172642204 211118180 215802755 320621236 400776545 431605510 561087163 801553090 863211020 1042019017 1122174326 1603106180 2084038034 2244348652 2805435815 4168076068 5210095085 5610871630 7294133119 10420190170 11221743260 14588266238 20840380340 29176532476 36470665595 72941331190 145882662380