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9972038115240 = 23351912054321179
BaseRepresentation
bin1001000100011100101111…
…0010100001111110101000
31022022022120111000022221220
42101013023302201332220
52301340213224141430
633113031400502040
72046312254265345
oct221071362417650
938268514008856
109972038115240
1131a5132600153
12115079347a920
135744890c4496
142669136617cc
151245e020a110
hex911cbca1fa8

9972038115240 has 128 divisors (see below), whose sum is σ = 30075627110400. Its totient is φ = 2645033934080.

The previous prime is 9972038115233. The next prime is 9972038115257. The reversal of 9972038115240 is 425118302799.

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, 470834971 + ... + 470856149.

It is an arithmetic number, because the mean of its divisors is an integer number (234965836800).

Almost surely, 29972038115240 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 9972038115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037813555200).

9972038115240 is an abundant number, since it is smaller than the sum of its proper divisors (20103588995160).

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

9972038115240 is a wasteful number, since it uses less digits than its factorization.

9972038115240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41927 (or 41923 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 9972038115240 in words is "nine trillion, nine hundred seventy-two billion, thirty-eight million, one hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 20543 21179 22920 41086 42358 61629 63537 82172 84716 102715 105895 123258 127074 164344 169432 205430 211790 246516 254148 308145 317685 410860 423580 493032 508296 616290 635370 821720 847160 1232580 1270740 2465160 2541480 3923713 4045189 7847426 8090378 11771139 12135567 15694852 16180756 19618565 20225945 23542278 24271134 31389704 32361512 39237130 40451890 47084556 48542268 58855695 60677835 78474260 80903780 94169112 97084536 117711390 121355670 156948520 161807560 235422780 242711340 435080197 470845560 485422680 870160394 1305240591 1740320788 2175400985 2610481182 3480641576 4350801970 5220962364 6526202955 8701603940 10441924728 13052405910 17403207880 26104811820 52209623640 83100317627 166200635254 249300952881 332401270508 415501588135 498601905762 664802541016 831003176270 997203811524 1246504764405 1662006352540 1994407623048 2493009528810 3324012705080 4986019057620 9972038115240