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427641203752 = 237471511076011
BaseRepresentation
bin1100011100100010110…
…01101110110000101000
31111212211001101000012221
412032101121232300220
524001302122010002
6524242231043424
742616230153610
oct6162131566050
91455731330187
10427641203752
111553a8346944
126aa68210574
13314321131c9
14169ab235a40
15b1cd3d9c37
hex639166ec28

427641203752 has 64 divisors (see below), whose sum is σ = 942070026240. Its totient is φ = 178187256000.

The previous prime is 427641203747. The next prime is 427641203767. The reversal of 427641203752 is 257302146724.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 427641203699 and 427641203708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140574 + ... + 935437.

It is an arithmetic number, because the mean of its divisors is an integer number (14719844160).

Almost surely, 2427641203752 is an apocalyptic number.

It is an amenable number.

427641203752 is an abundant number, since it is smaller than the sum of its proper divisors (514428822488).

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

427641203752 is a wasteful number, since it uses less digits than its factorization.

427641203752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076222 (or 1076218 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 427641203752 in words is "four hundred twenty-seven billion, six hundred forty-one million, two hundred three thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 151 188 302 329 376 604 658 1057 1208 1316 2114 2632 4228 7097 8456 14194 28388 49679 56776 99358 198716 397432 1076011 2152022 4304044 7532077 8608088 15064154 30128308 50572517 60256616 101145034 162477661 202290068 324955322 354007619 404580136 649910644 708015238 1137343627 1299821288 1416030476 2274687254 2832060952 4549374508 7636450067 9098749016 15272900134 30545800268 53455150469 61091600536 106910300938 213820601876 427641203752