Search a number
-
+
16030465640 = 2357211237283
BaseRepresentation
bin11101110110111110…
…10111111001101000
31112101012011000210122
432323133113321220
5230312244400030
611210404302412
71105151465300
oct167337277150
945335130718
1016030465640
116886864112
1231346a1a08
131686192137
14ac1022600
1563c5128e5
hex3bb7d7e68

16030465640 has 96 divisors (see below), whose sum is σ = 42000418080. Its totient is φ = 5490511488.

The previous prime is 16030465637. The next prime is 16030465723. The reversal of 16030465640 is 4656403061.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 16030465640.

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 23 ways as a sum of consecutive naturals, for example, 2197439 + ... + 2204721.

It is an arithmetic number, because the mean of its divisors is an integer number (437504355).

Almost surely, 216030465640 is an apocalyptic number.

16030465640 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 16030465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000209040).

16030465640 is an abundant number, since it is smaller than the sum of its proper divisors (25969952440).

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

16030465640 is a wasteful number, since it uses less digits than its factorization.

16030465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8431 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 16030465640 in words is "sixteen billion, thirty million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1123 1960 2246 4492 5615 7283 7861 8984 11230 14566 15722 22460 29132 31444 36415 39305 44920 50981 55027 58264 62888 72830 78610 101962 110054 145660 157220 203924 220108 254905 275135 291320 314440 356867 407848 440216 509810 550270 713734 1019620 1100540 1427468 1784335 2039240 2201080 2854936 3568670 7137340 8178809 14274680 16357618 32715236 40894045 57251663 65430472 81788090 114503326 163576180 229006652 286258315 327152360 400761641 458013304 572516630 801523282 1145033260 1603046564 2003808205 2290066520 3206093128 4007616410 8015232820 16030465640