Search a number
-
+
6420107100688 = 241729813908101
BaseRepresentation
bin101110101101100110000…
…1101000000001000010000
3211201202102022011110122221
41131123030031000020100
51320141334404210223
621353205000110424
71231560144644041
oct135331415001020
924652368143587
106420107100688
1120558300a5136
12878314a65414
1337754b604548
14182a405968c8
15b2005c05b5d
hex5d6cc340210

6420107100688 has 40 divisors (see below), whose sum is σ = 13624821627480. Its totient is φ = 2917046630400.

The previous prime is 6420107100683. The next prime is 6420107100691. The reversal of 6420107100688 is 8860017010246.

It can be written as a sum of positive squares in 4 ways, for example, as 542449926144 + 5877657174544 = 736512^2 + 2424388^2 .

It is not an unprimeable number, because it can be changed into a prime (6420107100683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406946163 + ... + 406961938.

It is an arithmetic number, because the mean of its divisors is an integer number (340620540687).

Almost surely, 26420107100688 is an apocalyptic number.

6420107100688 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6420107100688 is an abundant number, since it is smaller than the sum of its proper divisors (7204714526792).

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

6420107100688 is a wasteful number, since it uses less digits than its factorization.

6420107100688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813908155 (or 813908149 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 6420107100688 in words is "six trillion, four hundred twenty billion, one hundred seven million, one hundred thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 813908101 1627816202 3255632404 6511264808 13022529616 13836437717 23603334929 27672875434 47206669858 55345750868 94413339716 110691501736 188826679432 221383003472 377653358864 401256693793 802513387586 1605026775172 3210053550344 6420107100688