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1920130076232 = 233283769141777
BaseRepresentation
bin11011111100010000101…
…010111100111001001000
320210120012011111100000100
4123330100222330321020
5222424411244414412
64030032351205400
7255503420232324
oct33742052747110
96716164440010
101920130076232
11680360408a25
12270173816860
1310c0b5373954
1468d130d4984
1534e31154edc
hex1bf10abce48

1920130076232 has 96 divisors (see below), whose sum is σ = 5263817438880. Its totient is φ = 632234641920.

The previous prime is 1920130076201. The next prime is 1920130076297. The reversal of 1920130076232 is 2326700310291.

1920130076232 is a `hidden beast` number, since 1 + 9 + 20 + 1 + 3 + 0 + 0 + 7 + 623 + 2 = 666.

It is a super-2 number, since 2×19201300762322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45940528 + ... + 45982304.

It is an arithmetic number, because the mean of its divisors is an integer number (54831431655).

Almost surely, 21920130076232 is an apocalyptic number.

1920130076232 is a gapful number since it is divisible by the number (12) 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 1920130076232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631908719440).

1920130076232 is an abundant number, since it is smaller than the sum of its proper divisors (3343687362648).

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

1920130076232 is a wasteful number, since it uses less digits than its factorization.

1920130076232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49563 (or 49556 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1920130076232 in words is "one trillion, nine hundred twenty billion, one hundred thirty million, seventy-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 7691 15382 23073 30764 41777 46146 61528 69219 83554 92292 125331 138438 167108 184584 250662 276876 334216 375993 501324 553752 638353 751986 1002648 1276706 1503972 1915059 2553412 3007944 3467491 3830118 5106824 5745177 6934982 7660236 10402473 11490354 13869964 15320472 20804946 22980708 27739928 31207419 41609892 45961416 62414838 83219784 124829676 249659352 321306907 642613814 963920721 1285227628 1927841442 2570455256 2891762163 3855682884 5783524326 7711365768 11567048652 23134097304 26668473281 53336946562 80005419843 106673893124 160010839686 213347786248 240016259529 320021679372 480032519058 640043358744 960065038116 1920130076232