Search a number
-
+
15641563420 = 22572192233767
BaseRepresentation
bin11101001000100111…
…10101000100011100
31111101002100202020201
432210103311010130
5224013220012140
611104032553244
71062420044500
oct164423650434
944332322221
1015641563420
1166a728911a
1230463b2824
131623737c92
14a8550a300
156182e249a
hex3a44f511c

15641563420 has 144 divisors (see below), whose sum is σ = 40412252160. Its totient is φ = 5056442496.

The previous prime is 15641563373. The next prime is 15641563423. The reversal of 15641563420 is 2436514651.

It is a self number, because there is not a number n which added to its sum of digits gives 15641563420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15641563423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4150377 + ... + 4154143.

It is an arithmetic number, because the mean of its divisors is an integer number (280640640).

Almost surely, 215641563420 is an apocalyptic number.

15641563420 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 15641563420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206126080).

15641563420 is an abundant number, since it is smaller than the sum of its proper divisors (24770688740).

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

15641563420 is a wasteful number, since it uses less digits than its factorization.

15641563420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 15641563420 in words is "fifteen billion, six hundred forty-one million, five hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 223 245 266 380 446 490 532 665 892 931 980 1115 1330 1561 1862 2230 2660 3122 3724 3767 4237 4460 4655 6244 7534 7805 8474 9310 10927 15068 15610 16948 18620 18835 21185 21854 26369 29659 31220 37670 42370 43708 52738 54635 59318 71573 75340 84740 105476 109270 118636 131845 143146 148295 184583 207613 218540 263690 286292 296590 357865 369166 415226 501011 527380 593180 715730 738332 830452 840041 922915 1002022 1038065 1431460 1680082 1845830 2004044 2076130 2505055 3360164 3507077 3691660 4152260 4200205 5010110 5880287 7014154 8400410 10020220 11760574 14028308 15960779 16800820 17535385 23521148 29401435 31921558 35070770 41162009 58802870 63843116 70141540 79803895 82324018 111725453 117605740 159607790 164648036 205810045 223450906 319215580 411620090 446901812 558627265 782078171 823240180 1117254530 1564156342 2234509060 3128312684 3910390855 7820781710 15641563420