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1022067115048 = 237219133740507
BaseRepresentation
bin11101101111101111111…
…00101000010000101000
310121201010121121000111101
432313313330220100220
5113221143140140143
62101310421211144
7133561530064300
oct16676774502050
93551117530441
101022067115048
11364502272061
12146100260ab4
13754c3cb9175
143767b098600
151b8bdc00b4d
hexedf7f28428

1022067115048 has 96 divisors (see below), whose sum is σ = 2247630128640. Its totient is φ = 434431710720.

The previous prime is 1022067115031. The next prime is 1022067115063. The reversal of 1022067115048 is 8405117602201.

It is a junction number, because it is equal to n+sod(n) for n = 1022067114998 and 1022067115016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25211611 + ... + 25252117.

It is an arithmetic number, because the mean of its divisors is an integer number (23412813840).

Almost surely, 21022067115048 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 1022067115048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123815064320).

1022067115048 is an abundant number, since it is smaller than the sum of its proper divisors (1225563013592).

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

1022067115048 is a wasteful number, since it uses less digits than its factorization.

1022067115048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41055 (or 41044 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 1022067115048 in words is "one trillion, twenty-two billion, sixty-seven million, one hundred fifteen thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 191 196 337 382 392 674 764 1337 1348 1528 2359 2674 2696 4718 5348 9359 9436 10696 16513 18718 18872 33026 37436 40507 64367 66052 74872 81014 128734 132104 162028 257468 283549 324056 450569 514936 567098 901138 1134196 1802276 1984843 2268392 3153983 3604552 3969686 6307966 7736837 7939372 12615932 13650859 15473674 15878744 25231864 27301718 30947348 54157859 54603436 61894696 95556013 108315718 109206872 191112026 216631436 379105013 382224052 433262872 668892091 758210026 764448104 1337784182 1516420052 2607314069 2675568364 3032840104 5214628138 5351136728 10429256276 18251198483 20858512552 36502396966 73004793932 127758389381 146009587864 255516778762 511033557524 1022067115048