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6130126345000 = 23547199880133
BaseRepresentation
bin101100100110100100000…
…0000001101001100101000
3210201000221001012210021111
41121031020000031030220
51300413444321020000
621012050254120104
71201613150124250
oct131151000151450
923630831183244
106130126345000
111a53854567439
12830086ab0034
133560b7470588
141729b1d86960
15a96d2e56cba
hex5934800d328

6130126345000 has 160 divisors (see below), whose sum is σ = 16497231696000. Its totient is φ = 2091193632000.

The previous prime is 6130126344973. The next prime is 6130126345019. The reversal of 6130126345000 is 5436210316.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6524934 + ... + 7405066.

It is an arithmetic number, because the mean of its divisors is an integer number (103107698100).

Almost surely, 26130126345000 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 6130126345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248615848000).

6130126345000 is an abundant number, since it is smaller than the sum of its proper divisors (10367105351000).

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

6130126345000 is a wasteful number, since it uses less digits than its factorization.

6130126345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880365 (or 880346 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 6130126345000 in words is "six trillion, one hundred thirty billion, one hundred twenty-six million, three hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 199 200 250 280 350 398 500 625 700 796 875 995 1000 1250 1393 1400 1592 1750 1990 2500 2786 3500 3980 4375 4975 5000 5572 6965 7000 7960 8750 9950 11144 13930 17500 19900 24875 27860 34825 35000 39800 49750 55720 69650 99500 124375 139300 174125 199000 248750 278600 348250 497500 696500 870625 880133 995000 1393000 1741250 1760266 3482500 3520532 4400665 6160931 6965000 7041064 8801330 12321862 17602660 22003325 24643724 30804655 35205320 44006650 49287448 61609310 88013300 110016625 123218620 154023275 175146467 176026600 220033250 246437240 308046550 350292934 440066500 550083125 616093100 700585868 770116375 875732335 880133000 1100166250 1226025269 1232186200 1401171736 1540232750 1751464670 2200332500 2452050538 3080465500 3502929340 3850581875 4378661675 4400665000 4904101076 6130126345 6160931000 7005858680 7701163750 8757323350 9808202152 12260252690 15402327500 17514646700 21893308375 24520505380 30650631725 30804655000 35029293400 43786616750 49041010760 61301263450 87573233500 109466541875 122602526900 153253158625 175146467000 218933083750 245205053800 306506317250 437866167500 613012634500 766265793125 875732335000 1226025269000 1532531586250 3065063172500 6130126345000