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79993000152 = 233213641133327
BaseRepresentation
bin100101001111111110…
…1000101000011011000
321122110211221110000100
41022133331011003120
52302311202001102
6100425343335400
75531205165612
oct1123775050330
9248424843010
1079993000152
1130a19a65a8a
12136055b1560
13770a8539b0
143c2bc75db2
152132a89a1c
hex129ff450d8

79993000152 has 96 divisors (see below), whose sum is σ = 233678652480. Its totient is φ = 24574648320.

The previous prime is 79993000141. The next prime is 79993000163. The reversal of 79993000152 is 25100039997.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (79993000141) and next prime (79993000163).

It is a junction number, because it is equal to n+sod(n) for n = 79993000098 and 79993000107.

It is a congruent number.

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, 533313 + ... + 666639.

It is an arithmetic number, because the mean of its divisors is an integer number (2434152630).

Almost surely, 279993000152 is an apocalyptic number.

79993000152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79993000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116839326240).

79993000152 is an abundant number, since it is smaller than the sum of its proper divisors (153685652328).

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

79993000152 is a wasteful number, since it uses less digits than its factorization.

79993000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133993 (or 133986 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 79993000152 in words is "seventy-nine billion, nine hundred ninety-three million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 641 936 1282 1923 2564 3846 5128 5769 7692 8333 11538 15384 16666 23076 24999 33332 46152 49998 66664 74997 99996 133327 149994 199992 266654 299988 399981 533308 599976 799962 1066616 1199943 1599924 1733251 2399886 3199848 3466502 4799772 5199753 6933004 9599544 10399506 13866008 15599259 20799012 31198518 41598024 62397036 85462607 124794072 170925214 256387821 341850428 512775642 683700856 769163463 1025551284 1111013891 1538326926 2051102568 2222027782 3076653852 3333041673 4444055564 6153307704 6666083346 8888111128 9999125019 13332166692 19998250038 26664333384 39996500076 79993000152