Search a number
-
+
4146724000700 = 2252953101942701
BaseRepresentation
bin111100010101111100000…
…000101101001110111100
3112200102102022210012121022
4330111330000231032330
51020414442321010300
612452551222323312
7605406454303031
oct74257400551674
915612368705538
104146724000700
111359685658a86
1256b7b5589538
1324105a749c68
141049b99a1388
1572cec178285
hex3c57c02d3bc

4146724000700 has 72 divisors (see below), whose sum is σ = 9016884288720. Its totient is φ = 1655284288000.

The previous prime is 4146724000667. The next prime is 4146724000721. The reversal of 4146724000700 is 70004276414.

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, 97089350 + ... + 97132050.

It is an arithmetic number, because the mean of its divisors is an integer number (125234504010).

Almost surely, 24146724000700 is an apocalyptic number.

It is an amenable number.

4146724000700 is an abundant number, since it is smaller than the sum of its proper divisors (4870160288020).

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

4146724000700 is a wasteful number, since it uses less digits than its factorization.

4146724000700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44687 (or 44680 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 4146724000700 in words is "four trillion, one hundred forty-six billion, seven hundred twenty-four million, seven hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 953 1019 1906 2038 3812 4076 4765 5095 9530 10190 19060 20380 23825 25475 42701 47650 50950 85402 95300 101900 170804 213505 427010 854020 971107 1067525 1942214 2135050 3884428 4270100 4855535 9711070 19422140 24277675 40694053 43512319 48555350 81388106 87024638 97110700 162776212 174049276 203470265 217561595 406940530 435123190 813881060 870246380 1017351325 1087807975 2034702650 2175615950 4069405300 4351231900 41467240007 82934480014 165868960028 207336200035 414672400070 829344800140 1036681000175 2073362000350 4146724000700