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420276616074 = 232729184762273
BaseRepresentation
bin1100001110110100111…
…00000011101110001010
31111011210210121012011100
412013122130003232022
523341211303203244
6521023350242230
742235563202530
oct6073234035612
91434723535140
10420276616074
11152269214147
1269551956376
133082a417313
14164ad0d2150
15adebaa4b69
hex61da703b8a

420276616074 has 96 divisors (see below), whose sum is σ = 1077170814720. Its totient is φ = 115873744896.

The previous prime is 420276616049. The next prime is 420276616117. The reversal of 420276616074 is 470616672024.

420276616074 is a `hidden beast` number, since 4 + 2 + 0 + 27 + 6 + 616 + 0 + 7 + 4 = 666.

It is a super-2 number, since 2×4202766160742 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6717802 + ... + 6780074.

It is an arithmetic number, because the mean of its divisors is an integer number (11220529320).

Almost surely, 2420276616074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420276616074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538585407360).

420276616074 is an abundant number, since it is smaller than the sum of its proper divisors (656894198646).

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

420276616074 is a wasteful number, since it uses less digits than its factorization.

420276616074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64164 (or 64161 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 420276616074 in words is "four hundred twenty billion, two hundred seventy-six million, six hundred sixteen thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 1847 3654 3694 5541 11082 12929 16623 25858 33246 38787 53563 62273 77574 107126 116361 124546 160689 186819 232722 321378 373638 374941 435911 482067 560457 749882 871822 964134 1120914 1124823 1307733 1805917 2249646 2615466 3374469 3611834 3923199 5417751 6748938 7846398 10835502 12641419 16253253 25282838 32506506 37924257 75848514 113772771 115018231 227545542 230036462 345054693 690109386 805127617 1035164079 1610255234 2070328158 2415382851 3335528699 4830765702 6671057398 7246148553 10006586097 14492297106 20013172194 23348700893 30019758291 46697401786 60039516582 70046102679 140092205358 210138308037 420276616074