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2348815935972 = 2231138346459687
BaseRepresentation
bin100010001011100000010…
…101101110100111100100
322022112201000120100211210
4202023200111232213210
5301440333334422342
64555010421031420
7331460564016432
oct42134025564744
98275630510753
102348815935972
118261443a9320
1231b271855570
13140652a2ab9c
148197cd7dd52
15411710e279c
hex222e056e9e4

2348815935972 has 48 divisors (see below), whose sum is σ = 5994414784512. Its totient is φ = 709904002080.

The previous prime is 2348815935959. The next prime is 2348815935997. The reversal of 2348815935972 is 2795395188432.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 15 ways as a sum of consecutive naturals, for example, 23179288 + ... + 23280399.

It is an arithmetic number, because the mean of its divisors is an integer number (124883641344).

Almost surely, 22348815935972 is an apocalyptic number.

2348815935972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2348815935972 is an abundant number, since it is smaller than the sum of its proper divisors (3645598848540).

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

2348815935972 is a wasteful number, since it uses less digits than its factorization.

2348815935972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46460088 (or 46460086 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 66.

The spelling of 2348815935972 in words is "two trillion, three hundred forty-eight billion, eight hundred fifteen million, nine hundred thirty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 383 766 1149 1532 2298 4213 4596 8426 12639 16852 25278 50556 46459687 92919374 139379061 185838748 278758122 511056557 557516244 1022113114 1533169671 2044226228 3066339342 6132678684 17794060121 35588120242 53382180363 71176240484 106764360726 195734661331 213528721452 391469322662 587203983993 782938645324 1174407967986 2348815935972