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20010401532 = 223211195945077
BaseRepresentation
bin10010101000101101…
…100111111011111100
31220122120002201110200
4102220231213323330
5311440130322112
613105340203500
71305606415032
oct225055477374
956576081420
1020010401532
118539393930
123a65539590
131b6b8aa1a4
14d7b832552
157c1b22cdc
hex4a8b67efc

20010401532 has 144 divisors (see below), whose sum is σ = 59070211200. Its totient is φ = 5647121280.

The previous prime is 20010401519. The next prime is 20010401539. The reversal of 20010401532 is 23510401002.

20010401532 is a `hidden beast` number, since 200 + 10 + 401 + 53 + 2 = 666.

It is a super-3 number, since 3×200104015323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010401539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421378 + ... + 466454.

It is an arithmetic number, because the mean of its divisors is an integer number (410209800).

Almost surely, 220010401532 is an apocalyptic number.

20010401532 is a gapful number since it is divisible by the number (22) 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 20010401532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29535105600).

20010401532 is an abundant number, since it is smaller than the sum of its proper divisors (39059809668).

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

20010401532 is a wasteful number, since it uses less digits than its factorization.

20010401532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45176 (or 45171 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20010401532 its reverse (23510401002), we get a palindrome (43520802534).

The spelling of 20010401532 in words is "twenty billion, ten million, four hundred one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 59 66 76 99 114 118 132 171 177 198 209 228 236 342 354 396 418 531 627 649 684 708 836 1062 1121 1254 1298 1881 1947 2124 2242 2508 2596 3363 3762 3894 4484 5841 6726 7524 7788 10089 11682 12331 13452 20178 23364 24662 36993 40356 45077 49324 73986 90154 110979 135231 147972 180308 221958 270462 405693 443916 495847 540924 811386 856463 991694 1487541 1622772 1712926 1983388 2569389 2659543 2975082 3425852 4462623 5138778 5319086 5950164 7708167 7978629 8925246 9421093 10277556 10638172 15416334 15957258 17850492 18842186 23935887 28263279 29254973 30832668 31914516 37684372 47871774 50531317 56526558 58509946 84789837 87764919 95743548 101062634 113053116 117019892 151593951 169579674 175529838 202125268 263294757 303187902 339159348 351059676 454781853 526589514 555844487 606375804 909563706 1053179028 1111688974 1667533461 1819127412 2223377948 3335066922 5002600383 6670133844 10005200766 20010401532