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42693776048 = 2472116181157
BaseRepresentation
bin100111110000101111…
…110101001010110000
311002012101212112112202
4213300233311022300
51144414101313143
631340243442332
73040664052200
oct476057651260
9132171775482
1042693776048
1117119583940
1283360863a8
13404519a0a1
1420d0260400
15119d23cab8
hex9f0bf52b0

42693776048 has 120 divisors (see below), whose sum is σ = 106694202384. Its totient is φ = 16361049600.

The previous prime is 42693776029. The next prime is 42693776053. The reversal of 42693776048 is 84067739624.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 42693775984 and 42693776002.

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 23 ways as a sum of consecutive naturals, for example, 485486 + ... + 566642.

Almost surely, 242693776048 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 42693776048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53347101192).

42693776048 is an abundant number, since it is smaller than the sum of its proper divisors (64000426336).

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

42693776048 is a wasteful number, since it uses less digits than its factorization.

42693776048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81251 (or 81238 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 42693776048 in words is "forty-two billion, six hundred ninety-three million, seven hundred seventy-six thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 61 77 88 98 112 122 154 176 196 244 308 392 427 488 539 616 671 784 854 976 1078 1232 1342 1708 2156 2684 2989 3416 4312 4697 5368 5978 6832 8624 9394 10736 11956 18788 23912 32879 37576 47824 65758 75152 81157 131516 162314 263032 324628 526064 568099 649256 892727 1136198 1298512 1785454 2272396 3570908 3976693 4544792 4950577 6249089 7141816 7953386 9089584 9901154 12498178 14283632 15906772 19802308 24996356 31813544 34654039 39604616 43743623 49992712 54456347 63627088 69308078 79209232 87487246 99985424 108912694 138616156 174974492 217825388 242578273 277232312 349948984 381194429 435650776 485156546 554464624 699897968 762388858 871301552 970313092 1524777716 1940626184 2668361003 3049555432 3881252368 5336722006 6099110864 10673444012 21346888024 42693776048