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10972202640 = 2435747138959
BaseRepresentation
bin10100011011111111…
…01000011010010000
31001022200010122102120
422031333220122100
5134432340441030
65012432214240
7535621116660
oct121577503220
931280118376
1010972202640
114720582273
12216269a380
13105b2440c9
147613161a0
154433ed010
hex28dfe8690

10972202640 has 160 divisors (see below), whose sum is σ = 39700316160. Its totient is φ = 2454554112.

The previous prime is 10972202621. The next prime is 10972202641. The reversal of 10972202640 is 4620227901.

10972202640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10972202641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9481 + ... + 148439.

It is an arithmetic number, because the mean of its divisors is an integer number (248126976).

Almost surely, 210972202640 is an apocalyptic number.

10972202640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10972202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850158080).

10972202640 is an abundant number, since it is smaller than the sum of its proper divisors (28728113520).

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

10972202640 is a wasteful number, since it uses less digits than its factorization.

10972202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139029 (or 139023 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10972202640 in words is "ten billion, nine hundred seventy-two million, two hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 752 840 940 987 1128 1316 1410 1645 1680 1880 1974 2256 2632 2820 3290 3760 3948 4935 5264 5640 6580 7896 9870 11280 13160 15792 19740 26320 39480 78960 138959 277918 416877 555836 694795 833754 972713 1111672 1389590 1667508 1945426 2084385 2223344 2779180 2918139 3335016 3890852 4168770 4863565 5558360 5836278 6531073 6670032 7781704 8337540 9727130 11116720 11672556 13062146 14590695 15563408 16675080 19454260 19593219 23345112 26124292 29181390 32655365 33350160 38908520 39186438 45717511 46690224 52248584 58362780 65310730 77817040 78372876 91435022 97966095 104497168 116725560 130621460 137152533 156745752 182870044 195932190 228587555 233451120 261242920 274305066 313491504 365740088 391864380 457175110 522485840 548610132 685762665 731480176 783728760 914350220 1097220264 1371525330 1567457520 1828700440 2194440528 2743050660 3657400880 5486101320 10972202640