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190541895936 = 283753668737
BaseRepresentation
bin1011000101110100101…
…1101001100100000000
3200012211012012012211220
42301131023221210000
511110212211132221
6223311142035040
716523543251410
oct2613513514400
9605735165756
10190541895936
1173898a29677
1230b18118a80
1314c779955b2
149317cdc640
154e52e580c6
hex2c5d2e9900

190541895936 has 144 divisors (see below), whose sum is σ = 590501003904. Its totient is φ = 53413281792.

The previous prime is 190541895899. The next prime is 190541895937. The reversal of 190541895936 is 639598145091.

It is a self number, because there is not a number n which added to its sum of digits gives 190541895936.

It is not an unprimeable number, because it can be changed into a prime (190541895937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49441 + ... + 619296.

It is an arithmetic number, because the mean of its divisors is an integer number (4100701416).

Almost surely, 2190541895936 is an apocalyptic number.

190541895936 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 190541895936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295250501952).

190541895936 is an abundant number, since it is smaller than the sum of its proper divisors (399959107968).

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

190541895936 is an equidigital number, since it uses as much as digits as its factorization.

190541895936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668816 (or 668802 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 60.

The spelling of 190541895936 in words is "one hundred ninety billion, five hundred forty-one million, eight hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 636 672 742 768 848 896 1113 1272 1344 1484 1696 1792 2226 2544 2688 2968 3392 4452 5088 5376 5936 6784 8904 10176 11872 13568 17808 20352 23744 35616 40704 47488 71232 94976 142464 284928 668737 1337474 2006211 2674948 4012422 4681159 5349896 8024844 9362318 10699792 14043477 16049688 18724636 21399584 28086954 32099376 35443061 37449272 42799168 56173908 64198752 70886122 74898544 85598336 106329183 112347816 128397504 141772244 149797088 171196672 212658366 224695632 248101427 256795008 283544488 299594176 425316732 449391264 496202854 513590016 567088976 599188352 744304281 850633464 898782528 992405708 1134177952 1198376704 1488608562 1701266928 1797565056 1984811416 2268355904 2977217124 3402533856 3595130112 3969622832 4536711808 5954434248 6805067712 7939245664 9073423616 11908868496 13610135424 15878491328 23817736992 27220270848 31756982656 47635473984 63513965312 95270947968 190541895936