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63145341820 = 225112937267497
BaseRepresentation
bin111010110011110000…
…010111001101111100
320000222201002201120201
4322303300113031330
52013310201414240
645001503453244
74363541356321
oct726360271574
9200881081521
1063145341820
1124863998a10
12102a32b7224
135c5429c2b2
1430b04d0b48
151998955d9a
hexeb3c1737c

63145341820 has 96 divisors (see below), whose sum is σ = 153693650880. Its totient is φ = 21570877440.

The previous prime is 63145341793. The next prime is 63145341821. The reversal of 63145341820 is 2814354136.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 63145341820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63145341821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102312 + ... + 369808.

It is an arithmetic number, because the mean of its divisors is an integer number (1600975530).

Almost surely, 263145341820 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 63145341820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76846825440).

63145341820 is an abundant number, since it is smaller than the sum of its proper divisors (90548309060).

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

63145341820 is a wasteful number, since it uses less digits than its factorization.

63145341820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267583 (or 267581 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 63145341820 its reverse (2814354136), we get a palindrome (65959695956).

The spelling of 63145341820 in words is "sixty-three billion, one hundred forty-five million, three hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 37 44 55 58 74 110 116 145 148 185 220 290 319 370 407 580 638 740 814 1073 1276 1595 1628 2035 2146 3190 4070 4292 5365 6380 8140 10730 11803 21460 23606 47212 59015 118030 236060 267497 534994 1069988 1337485 2674970 2942467 5349940 5884934 7757413 9897389 11769868 14712335 15514826 19794778 29424670 31029652 38787065 39589556 49486945 58849340 77574130 85331543 98973890 108871279 155148260 170663086 197947780 217742558 287024281 341326172 426657715 435485116 544356395 574048562 853315430 1088712790 1148097124 1435121405 1706630860 2177425580 2870242810 3157267091 5740485620 6314534182 12629068364 15786335455 31572670910 63145341820