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9943954416 = 2433117129473
BaseRepresentation
bin10010100001011010…
…01011001111110000
3221200000022020001000
421100231023033300
5130331123020131
64322421242000
7501264134514
oct112055131760
927600266030
109943954416
114243115150
121b16263300
13c261c63c6
146a4934144
153d2edbce6
hex250b4b3f0

9943954416 has 160 divisors (see below), whose sum is σ = 31577264640. Its totient is φ = 2970777600.

The previous prime is 9943954409. The next prime is 9943954451. The reversal of 9943954416 is 6144593499.

It is a happy number.

9943954416 is a `hidden beast` number, since 9 + 94 + 3 + 9 + 544 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 322656 + ... + 352128.

It is an arithmetic number, because the mean of its divisors is an integer number (197357904).

Almost surely, 29943954416 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 9943954416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788632320).

9943954416 is an abundant number, since it is smaller than the sum of its proper divisors (21633310224).

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

9943954416 is a wasteful number, since it uses less digits than its factorization.

9943954416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29572 (or 29560 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 9943954416 is about 99719.3783374124. The cubic root of 9943954416 is about 2150.4022622844.

The spelling of 9943954416 in words is "nine billion, nine hundred forty-three million, nine hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 132 142 144 176 198 213 216 264 284 297 396 426 432 528 568 594 639 781 792 852 1136 1188 1278 1562 1584 1704 1917 2343 2376 2556 3124 3408 3834 4686 4752 5112 6248 7029 7668 9372 10224 12496 14058 15336 18744 21087 28116 29473 30672 37488 42174 56232 58946 84348 88419 112464 117892 168696 176838 235784 265257 324203 337392 353676 471568 530514 648406 707352 795771 972609 1061028 1296812 1414704 1591542 1945218 2092583 2122056 2593624 2917827 3183084 3890436 4185166 4244112 5187248 5835654 6277749 6366168 7780872 8370332 8753481 11671308 12555498 12732336 15561744 16740664 17506962 18833247 23018413 23342616 25110996 33481328 35013924 37666494 46036826 46685232 50221992 56499741 69055239 70027848 75332988 92073652 100443984 112999482 138110478 140055696 150665976 184147304 207165717 225998964 276220956 301331952 368294608 414331434 451997928 552441912 621497151 828662868 903995856 1104883824 1242994302 1657325736 2485988604 3314651472 4971977208 9943954416