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10193856384 = 273373372129
BaseRepresentation
bin10010111111001100…
…11110011110000000
3222022102112120002110
421133212132132000
5131334111401014
64403305415320
7510420230625
oct113746363600
928272476073
1010193856384
1143611911a8
121b85a9a540
13c65c032aa
146c9bc634c
153e9e01d59
hex25f99e780

10193856384 has 128 divisors (see below), whose sum is σ = 27904874400. Its totient is φ = 3294756864.

The previous prime is 10193856377. The next prime is 10193856419. The reversal of 10193856384 is 48365839101.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4787032 + ... + 4789160.

Almost surely, 210193856384 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 10193856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952437200).

10193856384 is an abundant number, since it is smaller than the sum of its proper divisors (17711018016).

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

10193856384 is a wasteful number, since it uses less digits than its factorization.

10193856384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 10193856384 in words is "ten billion, one hundred ninety-three million, eight hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 337 384 444 592 674 888 1011 1184 1348 1776 2022 2129 2368 2696 3552 4044 4258 4736 5392 6387 7104 8088 8516 10784 12469 12774 14208 16176 17032 21568 24938 25548 32352 34064 37407 43136 49876 51096 64704 68128 74814 78773 99752 102192 129408 136256 149628 157546 199504 204384 236319 272512 299256 315092 399008 408768 472638 598512 630184 717473 798016 817536 945276 1197024 1260368 1434946 1596032 1890552 2152419 2394048 2520736 2869892 3781104 4304838 4788096 5041472 5739784 7562208 8609676 10082944 11479568 15124416 17219352 22959136 26546501 30248832 34438704 45918272 53093002 68877408 79639503 91836544 106186004 137754816 159279006 212372008 275509632 318558012 424744016 637116024 849488032 1274232048 1698976064 2548464096 3397952128 5096928192 10193856384