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643742805948 = 2231110148285539
BaseRepresentation
bin10010101111000100000…
…11111010111110111100
32021112121112122211112020
421113202003322332330
541021341124242243
61211421550240140
764336355365344
oct11274203727674
92245545584466
10643742805948
112290120390a0
12a49181b6050
1348921270438
142322b975d24
1511b2a224283
hex95e20fafbc

643742805948 has 48 divisors (see below), whose sum is σ = 1654842026880. Its totient is φ = 193142152000.

The previous prime is 643742805931. The next prime is 643742805961. The reversal of 643742805948 is 849508247346.

It is a junction number, because it is equal to n+sod(n) for n = 643742805891 and 643742805900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24129438 + ... + 24156101.

It is an arithmetic number, because the mean of its divisors is an integer number (34475875560).

Almost surely, 2643742805948 is an apocalyptic number.

It is an amenable number.

643742805948 is an abundant number, since it is smaller than the sum of its proper divisors (1011099220932).

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

643742805948 is a wasteful number, since it uses less digits than its factorization.

643742805948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48285658 (or 48285656 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 643742805948 in words is "six hundred forty-three billion, seven hundred forty-two million, eight hundred five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 48285539 96571078 144856617 193142156 289713234 531140929 579426468 1062281858 1593422787 2124563716 3186845574 4876839439 6373691148 9753678878 14630518317 19507357756 29261036634 53645233829 58522073268 107290467658 160935701487 214580935316 321871402974 643742805948