Search a number
-
+
6400743560600 = 2352411283608401
BaseRepresentation
bin101110100100100101000…
…0010111101010110011000
3211122220102211020201021112
41131021022002331112120
51314332210322414400
621340243324155452
71230303251401304
oct135111202752630
924586384221245
106400743560600
1120485a3966944
12874610098b88
13375783a4c90c
14181b24a28d04
15b1770caa835
hex5d24a0bd598

6400743560600 has 96 divisors (see below), whose sum is σ = 15256604921040. Its totient is φ = 2495900160000.

The previous prime is 6400743560579. The next prime is 6400743560671. The reversal of 6400743560600 is 60653470046.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10216400 + ... + 10824800.

Almost surely, 26400743560600 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 6400743560600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628302460520).

6400743560600 is an abundant number, since it is smaller than the sum of its proper divisors (8855861360440).

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

6400743560600 is a wasteful number, since it uses less digits than its factorization.

6400743560600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609741 (or 609732 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 6400743560600 in words is "six trillion, four hundred billion, seven hundred forty-three million, five hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1283 1640 2050 2566 4100 5132 6415 8200 10264 12830 25660 32075 51320 52603 64150 105206 128300 210412 256600 263015 420824 526030 608401 1052060 1216802 1315075 2104120 2433604 2630150 3042005 4867208 5260300 6084010 10520600 12168020 15210025 24336040 24944441 30420050 49888882 60840100 99777764 121680200 124722205 199555528 249444410 498888820 623611025 780578483 997777640 1247222050 1561156966 2494444100 3122313932 3902892415 4988888200 6244627864 7805784830 15611569660 19514462075 31223139320 32003717803 39028924150 64007435606 78057848300 128014871212 156115696600 160018589015 256029742424 320037178030 640074356060 800092945075 1280148712120 1600185890150 3200371780300 6400743560600