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34058355411612 = 223721131973259801
BaseRepresentation
bin1111011111001110101000…
…01011010000101010011100
311110120221120100101112000110
413233213110023100222130
513431003002441132422
6200234105324130020
710113430540251600
oct757472413205234
9143527510345013
1034058355411612
11a941081804124
1239a08a2396910
1316008c6049c2c
1485a60c99d500
153e0e08e2b60c
hex1ef9d42d0a9c

34058355411612 has 144 divisors (see below), whose sum is σ = 93309825383712. Its totient is φ = 9639918489600.

The previous prime is 34058355411593. The next prime is 34058355411631. The reversal of 34058355411612 is 21611455385043.

34058355411612 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34058355411593) and next prime (34058355411631).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130964112 + ... + 131223912.

It is an arithmetic number, because the mean of its divisors is an integer number (647984898498).

Almost surely, 234058355411612 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 34058355411612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46654912691856).

34058355411612 is an abundant number, since it is smaller than the sum of its proper divisors (59251469972100).

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

34058355411612 is a wasteful number, since it uses less digits than its factorization.

34058355411612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261908 (or 261899 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 34058355411612 in words is "thirty-four trillion, fifty-eight billion, three hundred fifty-five million, four hundred eleven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 588 678 791 1356 1582 1973 2373 3164 3946 4746 5537 5919 7892 9492 11074 11838 13811 16611 22148 23676 27622 33222 41433 55244 66444 82866 96677 165732 193354 222949 259801 290031 386708 445898 519602 580062 668847 779403 891796 1039204 1160124 1337694 1558806 1560643 1818607 2675388 3117612 3121286 3637214 4681929 5455821 6242572 7274428 9363858 10911642 10924501 12730249 18727716 21823284 21849002 25460498 29357513 32773503 38190747 43698004 50920996 58715026 65547006 76381494 88072539 117430052 131094012 152762988 176145078 205502591 352290156 411005182 512587373 616507773 822010364 1025174746 1233015546 1438518137 1537762119 2050349492 2466031092 2877036274 3075524238 3588111611 4315554411 5754072548 6151048476 7176223222 8631108822 10764334833 14352446444 17262217644 21528669666 25116781277 43057339332 50233562554 57922373149 75350343831 100467125108 115844746298 150700687662 173767119447 231689492596 301401375324 347534238894 405456612043 695068477788 810913224086 1216369836129 1621826448172 2432739672258 2838196284301 4865479344516 5676392568602 8514588852903 11352785137204 17029177705806 34058355411612