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20201042432 = 29415367271
BaseRepresentation
bin10010110100000100…
…110111001000000000
31221010211211021121202
4102310010313020000
5312332431324212
613140310240332
71313413012304
oct226404671000
957124737552
1020201042432
118626a6419a
123ab93560a8
131b9c23855c
14d98c99d04
157d372e0c2
hex4b4137200

20201042432 has 160 divisors (see below), whose sum is σ = 42913753344. Its totient is φ = 9488793600.

The previous prime is 20201042429. The next prime is 20201042441. The reversal of 20201042432 is 23424010202.

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, 74542457 + ... + 74542727.

Almost surely, 220201042432 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 20201042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21456876672).

20201042432 is an abundant number, since it is smaller than the sum of its proper divisors (22712710912).

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

20201042432 is an equidigital number, since it uses as much as digits as its factorization.

20201042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20201042432 its reverse (23424010202), we get a palindrome (43625052634).

It can be divided in two parts, 202010 and 42432, that added together give a palindrome (244442).

The spelling of 20201042432 in words is "twenty billion, two hundred one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 53 64 67 82 106 128 134 164 212 256 268 271 328 424 512 536 542 656 848 1072 1084 1312 1696 2144 2168 2173 2624 2747 3392 3551 4288 4336 4346 5248 5494 6784 7102 8576 8672 8692 10496 10988 11111 13568 14204 14363 17152 17344 17384 18157 20992 21976 22222 27136 28408 28726 34304 34688 34768 36314 43952 44444 56816 57452 69376 69536 72628 87904 88888 113632 114904 138752 139072 145256 145591 175808 177776 227264 229808 278144 290512 291182 351616 355552 454528 459616 556288 581024 582364 588883 703232 711104 744437 909056 919232 962321 1112576 1162048 1164728 1177766 1406464 1422208 1488874 1818112 1838464 1924642 2324096 2329456 2355532 2844416 2977748 3676928 3849284 4648192 4658912 4711064 5688832 5955496 7353856 7698568 9296384 9317824 9422128 11910992 15397136 18635648 18844256 23821984 30794272 37271296 37688512 39455161 47643968 61588544 74542592 75377024 78910322 95287936 123177088 150754048 157820644 190575872 246354176 301508096 315641288 381151744 492708352 631282576 1262565152 2525130304 5050260608 10100521216 20201042432