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4552014816 = 253253833593
BaseRepresentation
bin1000011110101001…
…00011101111100000
3102202020102022102100
410033110203233200
533310303433231
62031405250400
7220542326136
oct41724435740
912666368370
104552014816
111a26548118
12a70563a00
135770b8cbb
143127a9756
151b99651e6
hex10f523be0

4552014816 has 144 divisors (see below), whose sum is σ = 13351652496. Its totient is φ = 1470363648.

The previous prime is 4552014781. The next prime is 4552014827. The reversal of 4552014816 is 6184102554.

It is a happy number.

4552014816 is a `hidden beast` number, since 45 + 520 + 14 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265116 + ... + 1268708.

It is an arithmetic number, because the mean of its divisors is an integer number (92719809).

Almost surely, 24552014816 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 4552014816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675826248).

4552014816 is an abundant number, since it is smaller than the sum of its proper divisors (8799637680).

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

4552014816 is a wasteful number, since it uses less digits than its factorization.

4552014816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4552014816 is about 67468.6209730123. The cubic root of 4552014816 is about 1657.3003509110.

The spelling of 4552014816 in words is "four billion, five hundred fifty-two million, fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 83 96 106 144 159 166 212 249 288 318 332 424 477 498 636 664 747 848 954 996 1272 1328 1494 1696 1908 1992 2544 2656 2988 3593 3816 3984 4399 5088 5976 7186 7632 7968 8798 10779 11952 13197 14372 15264 17596 21558 23904 26394 28744 32337 35192 39591 43116 52788 57488 64674 70384 79182 86232 105576 114976 129348 140768 158364 172464 190429 211152 258696 298219 316728 344928 380858 422304 517392 571287 596438 633456 761716 894657 1034784 1142574 1192876 1266912 1523432 1713861 1789314 2285148 2385752 2683971 3046864 3427722 3578628 4570296 4771504 5367942 6093728 6855444 7157256 9140592 9543008 10735884 13710888 14314512 15805607 18281184 21471768 27421776 28629024 31611214 42943536 47416821 54843552 63222428 85887072 94833642 126444856 142250463 189667284 252889712 284500926 379334568 505779424 569001852 758669136 1138003704 1517338272 2276007408 4552014816