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48340013340 = 22355992914699
BaseRepresentation
bin101101000001010010…
…100001000100011100
311121202220021010000110
4231001102201010130
51243000020411330
634112422130020
73330624222333
oct550122410434
9147686233013
1048340013340
111955674a553
129450b80910
134734b930b8
1424a80a2d1a
1513cdc96db0
hexb414a111c

48340013340 has 96 divisors (see below), whose sum is σ = 137803680000. Its totient is φ = 12657682432.

The previous prime is 48340013333. The next prime is 48340013347. The reversal of 48340013340 is 4331004384.

It is an interprime number because it is at equal distance from previous prime (48340013333) and next prime (48340013347).

It is a super-2 number, since 2×483400133402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48340013298 and 48340013307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48340013347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3281311 + ... + 3296009.

It is an arithmetic number, because the mean of its divisors is an integer number (1435455000).

Almost surely, 248340013340 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 48340013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840000).

48340013340 is an abundant number, since it is smaller than the sum of its proper divisors (89463666660).

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

48340013340 is a wasteful number, since it uses less digits than its factorization.

48340013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 48340013340 in words is "forty-eight billion, three hundred forty million, thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 929 1180 1770 1858 2787 3540 3716 4645 5574 9290 11148 13935 14699 18580 27870 29398 44097 54811 55740 58796 73495 88194 109622 146990 164433 176388 219244 220485 274055 293980 328866 440970 548110 657732 822165 867241 881940 1096220 1644330 1734482 2601723 3288660 3468964 4336205 5203446 8672410 10406892 13008615 13655371 17344820 26017230 27310742 40966113 52034460 54621484 68276855 81932226 136553710 163864452 204830565 273107420 409661130 805666889 819322260 1611333778 2417000667 3222667556 4028334445 4834001334 8056668890 9668002668 12085003335 16113337780 24170006670 48340013340