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841145028096 = 2933723961927
BaseRepresentation
bin11000011110110000010…
…01101000111000000000
32222102010211202201202010
430033120021220320000
5102240131111344341
61442230001052520
7114525233525112
oct14173011507000
92872124681663
10841145028096
112a480049234a
12117029927140
1361420316c49
142c9d6a333b2
1516d305a6716
hexc3d8268e00

841145028096 has 160 divisors (see below), whose sum is σ = 2311093509120. Its totient is φ = 271657967616.

The previous prime is 841145028089. The next prime is 841145028127. The reversal of 841145028096 is 690820541148.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13551885 + ... + 13613811.

It is an arithmetic number, because the mean of its divisors is an integer number (14444334432).

Almost surely, 2841145028096 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 841145028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155546754560).

841145028096 is an abundant number, since it is smaller than the sum of its proper divisors (1469948481024).

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

841145028096 is a wasteful number, since it uses less digits than its factorization.

841145028096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62224 (or 62208 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 841145028096 in words is "eight hundred forty-one billion, one hundred forty-five million, twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 239 256 296 384 444 478 512 592 717 768 888 956 1184 1434 1536 1776 1912 2368 2868 3552 3824 4736 5736 7104 7648 8843 9472 11472 14208 15296 17686 18944 22944 26529 28416 30592 35372 45888 53058 56832 61184 61927 70744 91776 106116 122368 123854 141488 183552 185781 212232 247708 282976 367104 371562 424464 495416 565952 743124 848928 990832 1131904 1486248 1697856 1981664 2263808 2291299 2972496 3395712 3963328 4527616 4582598 5944992 6791424 6873897 7926656 9165196 11889984 13582848 13747794 14800553 15853312 18330392 23779968 27495588 29601106 31706624 36660784 44401659 47559936 54991176 59202212 73321568 88803318 95119872 109982352 118404424 146643136 177606636 219964704 236808848 293286272 355213272 439929408 473617696 547620461 586572544 710426544 879858816 947235392 1095240922 1173145088 1420853088 1642861383 1759717632 1894470784 2190481844 2841706176 3285722766 3519435264 3788941568 4380963688 5683412352 6571445532 7577883136 8761927376 11366824704 13142891064 17523854752 22733649408 26285782128 35047709504 52571564256 70095419008 105143128512 140190838016 210286257024 280381676032 420572514048 841145028096