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429147373648 = 24747127763841
BaseRepresentation
bin1100011111010110010…
…11010100000001010000
31112000201000111100220011
412033223023110001100
524012343211424043
6525051513324304
743001446326520
oct6175313240120
91460630440804
10429147373648
11156000560654
126b208706694
13316121858b6
1416ab12a3680
15b26a75259d
hex63eb2d4050

429147373648 has 80 divisors (see below), whose sum is σ = 971248264704. Its totient is φ = 179863326720.

The previous prime is 429147373643. The next prime is 429147373651. The reversal of 429147373648 is 846373741924.

It is a super-2 number, since 2×4291473736482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 429147373592 and 429147373601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429147373643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6690208 + ... + 6754048.

Almost surely, 2429147373648 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 429147373648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485624132352).

429147373648 is an abundant number, since it is smaller than the sum of its proper divisors (542100891056).

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

429147373648 is a wasteful number, since it uses less digits than its factorization.

429147373648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65180 (or 65174 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 58.

The spelling of 429147373648 in words is "four hundred twenty-nine billion, one hundred forty-seven million, three hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1277 1316 2554 2632 5108 5264 8939 10216 17878 20432 35756 60019 63841 71512 120038 127682 143024 240076 255364 420133 446887 480152 510728 840266 893774 960304 1021456 1680532 1787548 3000527 3361064 3575096 6001054 6722128 7150192 12002108 21003689 24004216 42007378 48008432 81524957 84014756 163049914 168029512 326099828 336059024 570674699 652199656 1141349398 1304399312 2282698796 3831672979 4565397592 7663345958 9130795184 15326691916 26821710853 30653383832 53643421706 61306767664 107286843412 214573686824 429147373648