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10016916710272 = 273714922961987
BaseRepresentation
bin1001000111000011111011…
…0000110010001110000000
31022110121102011000011201021
42101300332300302032000
52303104121134212042
633145412532515224
72052461351121313
oct221607660621600
938417364004637
1010016916710272
11321217238490a
12115941917bb14
1357878bb09064
14268b6db2a97a
1512586a166867
hex91c3ec32380

10016916710272 has 128 divisors (see below), whose sum is σ = 20722898340000. Its totient is φ = 4819174465536.

The previous prime is 10016916710267. The next prime is 10016916710323. The reversal of 10016916710272 is 27201761961001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 161566063 + ... + 161628049.

Almost surely, 210016916710272 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 10016916710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361449170000).

10016916710272 is an abundant number, since it is smaller than the sum of its proper divisors (10705981629728).

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

10016916710272 is a wasteful number, since it uses less digits than its factorization.

10016916710272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62416 (or 62404 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The spelling of 10016916710272 in words is "ten trillion, sixteen billion, nine hundred sixteen million, seven hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 149 229 296 298 458 592 596 916 1184 1192 1832 2368 2384 3664 4736 4768 5513 7328 8473 9536 11026 14656 16946 19072 22052 29312 33892 34121 44104 61987 67784 68242 88208 123974 135568 136484 176416 247948 271136 272968 352832 495896 542272 545936 705664 991792 1084544 1091872 1262477 1983584 2183744 2293519 2524954 3967168 4367488 4587038 5049908 7934336 9174076 9236063 10099816 14195023 18348152 18472126 20199632 28390046 36696304 36944252 40399264 56780092 73392608 73888504 80798528 113560184 146785216 147777008 161597056 227120368 293570432 295554016 341734331 454240736 525215851 591108032 683468662 908481472 1050431702 1182216064 1366937324 1816962944 2100863404 2115058427 2733874648 4201726808 4230116854 5467749296 8403453616 8460233708 10935498592 16806907232 16920467416 21870997184 33613814464 33840934832 43741994368 67227628928 67681869664 78257161799 135363739328 156514323598 270727478656 313028647196 626057294392 1252114588784 2504229177568 5008458355136 10016916710272