Search a number
-
+
9100010000192 = 262318673311233
BaseRepresentation
bin1000010001101100001011…
…0111010000111101000000
31012012221201100021020021112
42010123002313100331000
52143043310030001232
631204253055542452
71626311505513656
oct204330267207500
935187640236245
109100010000192
112999324454551
12102b786b2aa28
135101867910b7
1423662b1cadd6
1510baa373e4b2
hex846c2dd0f40

9100010000192 has 56 divisors (see below), whose sum is σ = 18853053821376. Its totient is φ = 4349846274048.

The previous prime is 9100010000189. The next prime is 9100010000203. The reversal of 9100010000192 is 2910000100019.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1092608 + ... + 4403840.

Almost surely, 29100010000192 is an apocalyptic number.

9100010000192 is a gapful number since it is divisible by the number (92) 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 9100010000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426526910688).

9100010000192 is an abundant number, since it is smaller than the sum of its proper divisors (9753043821184).

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

9100010000192 is a wasteful number, since it uses less digits than its factorization.

9100010000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313135 (or 3313125 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 9100010000192 in words is "nine trillion, one hundred billion, ten million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 1867 3734 7468 14936 29872 42941 59744 85882 119488 171764 343528 687056 1374112 2748224 3311233 6622466 13244932 26489864 52979728 76158359 105959456 152316718 211918912 304633436 609266872 1218533744 2437067488 4874134976 6182072011 12364144022 24728288044 49456576088 98913152176 142187656253 197826304352 284375312506 395652608704 568750625012 1137501250024 2275002500048 4550005000096 9100010000192