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6420462006 = 2372313195039
BaseRepresentation
bin1011111101011000…
…00111100110110110
3121120110020021010010
411332230013212312
5101122114241011
62541032441050
7315051012060
oct57654074666
917513207103
106420462006
1127a5202152
1212b2249186
137b4222b5a
1444c9bc730
152789de1a6
hex17eb079b6

6420462006 has 64 divisors (see below), whose sum is σ = 15328051200. Its totient is φ = 1752982176.

The previous prime is 6420461941. The next prime is 6420462011. The reversal of 6420462006 is 6002640246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271635 + ... + 1276673.

It is an arithmetic number, because the mean of its divisors is an integer number (239500800).

Almost surely, 26420462006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6420462006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664025600).

6420462006 is an abundant number, since it is smaller than the sum of its proper divisors (8907589194).

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

6420462006 is a wasteful number, since it uses less digits than its factorization.

6420462006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6420462006 is about 80127.7854804437. The cubic root of 6420462006 is about 1858.6120996745.

The spelling of 6420462006 in words is "six billion, four hundred twenty million, four hundred sixty-two thousand, six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1319 2638 3957 5039 7914 9233 10078 15117 18466 27699 30234 30337 35273 55398 60674 70546 91011 105819 115897 182022 211638 212359 231794 347691 424718 637077 695382 811279 1274154 1622558 2433837 4867674 6646441 13292882 19939323 39878646 46525087 93050174 139575261 152868143 279150522 305736286 458604429 917208858 1070077001 2140154002 3210231003 6420462006