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16101760416 = 253740159753
BaseRepresentation
bin11101111111011110…
…10101110110100000
31112120011022011211220
432333233111312200
5230434022313131
611221432335040
71110005463630
oct167757256640
945504264756
1016101760416
116913029a15
123154544480
131697b950b1
14aca6a06c0
156438e6e96
hex3bfbd5da0

16101760416 has 96 divisors (see below), whose sum is σ = 48426553728. Its totient is φ = 4588953600.

The previous prime is 16101760373. The next prime is 16101760421. The reversal of 16101760416 is 61406710161.

It is a tau number, because it is divible by the number of its divisors (96).

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, 239596 + ... + 299348.

It is an arithmetic number, because the mean of its divisors is an integer number (504443268).

Almost surely, 216101760416 is an apocalyptic number.

16101760416 is a gapful number since it is divisible by the number (16) 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 16101760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213276864).

16101760416 is an abundant number, since it is smaller than the sum of its proper divisors (32324793312).

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

16101760416 is a wasteful number, since it uses less digits than its factorization.

16101760416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60174 (or 60166 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 16101760416 in words is "sixteen billion, one hundred one million, seven hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 401 672 802 1203 1604 2406 2807 3208 4812 5614 6416 8421 9624 11228 12832 16842 19248 22456 33684 38496 44912 59753 67368 89824 119506 134736 179259 239012 269472 358518 418271 478024 717036 836542 956048 1254813 1434072 1673084 1912096 2509626 2868144 3346168 5019252 5736288 6692336 10038504 13384672 20077008 23960953 40154016 47921906 71882859 95843812 143765718 167726671 191687624 287531436 335453342 383375248 503180013 575062872 670906684 766750496 1006360026 1150125744 1341813368 2012720052 2300251488 2683626736 4025440104 5367253472 8050880208 16101760416