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34245554000 = 2453711321647
BaseRepresentation
bin11111111001001100…
…011010111101010000
310021101122001101120212
4133321030122331100
51030113330212000
623422053023252
72321431256210
oct377114327520
9107348041525
1034245554000
11135837a4649
126778924b28
1332c9b30628
14192c23c240
15d56705c35
hex7f931af50

34245554000 has 160 divisors (see below), whose sum is σ = 95477031936. Its totient is φ = 11636889600.

The previous prime is 34245553999. The next prime is 34245554011. The reversal of 34245554000 is 45554243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571177 + ... + 1592823.

Almost surely, 234245554000 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 34245554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47738515968).

34245554000 is an abundant number, since it is smaller than the sum of its proper divisors (61231477936).

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

34245554000 is a wasteful number, since it uses less digits than its factorization.

34245554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21790 (or 21774 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 34245554000 in words is "thirty-four billion, two hundred forty-five million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 113 125 140 175 200 226 250 280 350 400 452 500 560 565 700 791 875 904 1000 1130 1400 1582 1750 1808 2000 2260 2800 2825 3164 3500 3955 4520 5650 6328 7000 7910 9040 11300 12656 14000 14125 15820 19775 21647 22600 28250 31640 39550 43294 45200 56500 63280 79100 86588 98875 108235 113000 151529 158200 173176 197750 216470 226000 303058 316400 346352 395500 432940 541175 606116 757645 791000 865880 1082350 1212232 1515290 1582000 1731760 2164700 2424464 2446111 2705875 3030580 3788225 4329400 4892222 5411750 6061160 7576450 8658800 9784444 10823500 12122320 12230555 15152900 17122777 18941125 19568888 21647000 24461110 30305800 34245554 37882250 39137776 43294000 48922220 60611600 61152775 68491108 75764500 85613885 97844440 122305550 136982216 151529000 171227770 195688880 244611100 273964432 303058000 305763875 342455540 428069425 489222200 611527750 684911080 856138850 978444400 1223055500 1369822160 1712277700 2140347125 2446111000 3424555400 4280694250 4892222000 6849110800 8561388500 17122777000 34245554000