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10416543824 = 241747839817
BaseRepresentation
bin10011011001101111…
…11101100001010000
3222212221120020211102
421230313331201100
5132313113400244
64441342403532
7516063106301
oct115467754120
928787506742
1010416543824
11446595a605
1220285905a8
13ca00a1ccb
1470b5d27a8
1540e73d54e
hex26cdfd850

10416543824 has 80 divisors (see below), whose sum is σ = 22089086208. Its totient is φ = 4739321856.

The previous prime is 10416543817. The next prime is 10416543827. The reversal of 10416543824 is 42834561401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416543827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056164 + ... + 1065980.

Almost surely, 210416543824 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 10416543824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044543104).

10416543824 is an abundant number, since it is smaller than the sum of its proper divisors (11672542384).

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

10416543824 is a wasteful number, since it uses less digits than its factorization.

10416543824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 10416543824 in words is "ten billion, four hundred sixteen million, five hundred forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 47 68 83 94 136 166 188 272 332 376 664 752 799 1328 1411 1598 2822 3196 3901 5644 6392 7802 9817 11288 12784 15604 19634 22576 31208 39268 62416 66317 78536 132634 157072 166889 265268 333778 461399 530536 667556 814811 922798 1061072 1335112 1629622 1845596 2670224 3259244 3691192 6518488 7382384 7843783 13036976 13851787 15687566 27703574 31375132 38296117 55407148 62750264 76592234 110814296 125500528 153184468 221628592 306368936 612737872 651033989 1302067978 2604135956 5208271912 10416543824