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272081998950 = 235222324133751
BaseRepresentation
bin1111110101100101011…
…0011101010001100110
3222000021212021122000020
43331121112131101212
513424210442431300
6324554233300010
725441305555306
oct3753126352146
9860255248006
10272081998950
11a5431216963
1244893864606
131c870bc1068
14d251419606
1571267438a0
hex3f5959d466

272081998950 has 96 divisors (see below), whose sum is σ = 680621770752. Its totient is φ = 71928000000.

The previous prime is 272081998949. The next prime is 272081999003. The reversal of 272081998950 is 59899180272.

It is a super-2 number, since 2×2720819989502 (a number of 24 digits) contains 22 as substring.

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, 8044575 + ... + 8078325.

It is an arithmetic number, because the mean of its divisors is an integer number (7089810112).

Almost surely, 2272081998950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272081998950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340310885376).

272081998950 is an abundant number, since it is smaller than the sum of its proper divisors (408539771802).

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

272081998950 is a wasteful number, since it uses less digits than its factorization.

272081998950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34230 (or 34225 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 272081998950 in words is "two hundred seventy-two billion, eighty-one million, nine hundred ninety-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 223 241 446 482 669 723 1115 1205 1338 1446 2230 2410 3345 3615 5575 6025 6690 7230 11150 12050 16725 18075 33450 33751 36150 53743 67502 101253 107486 161229 168755 202506 268715 322458 337510 506265 537430 806145 843775 1012530 1343575 1612290 1687550 2531325 2687150 4030725 5062650 7526473 8061450 8133991 15052946 16267982 22579419 24401973 37632365 40669955 45158838 48803946 75264730 81339910 112897095 122009865 188161825 203349775 225794190 244019730 376323650 406699550 564485475 610049325 1128970950 1220098650 1813879993 3627759986 5441639979 9069399965 10883279958 18138799930 27208199895 45346999825 54416399790 90693999650 136040999475 272081998950