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190834922376 = 23347325112941
BaseRepresentation
bin1011000110111010100…
…1011101001110001000
3200020120121120111120000
42301232221131032020
511111312220004001
6223400210403000
716534032035040
oct2615651351610
9606517514500
10190834922376
1173a2937a78a
1230b9a290460
1314cc35c1217
149344bb8720
154e6da3aa86
hex2c6ea5d388

190834922376 has 160 divisors (see below), whose sum is σ = 611108815680. Its totient is φ = 54503280000.

The previous prime is 190834922371. The next prime is 190834922413. The reversal of 190834922376 is 673229438091.

190834922376 is a `hidden beast` number, since 1 + 9 + 0 + 8 + 349 + 223 + 76 = 666.

190834922376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (190834922371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14740066 + ... + 14753006.

It is an arithmetic number, because the mean of its divisors is an integer number (3819430098).

Almost surely, 2190834922376 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 190834922376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305554407840).

190834922376 is an abundant number, since it is smaller than the sum of its proper divisors (420273893304).

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

190834922376 is a wasteful number, since it uses less digits than its factorization.

190834922376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 190834922376 in words is "one hundred ninety billion, eight hundred thirty-four million, nine hundred twenty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 3251 4536 6502 9753 12941 13004 19506 22757 25882 26008 29259 38823 39012 45514 51764 58518 68271 77646 78024 87777 90587 91028 103528 116469 117036 136542 155292 175554 181174 182056 204813 232938 234072 263331 271761 273084 310584 349407 351108 362348 409626 465876 526662 543522 546168 614439 698814 702216 724696 815283 819252 931752 1048221 1053324 1087044 1228878 1397628 1630566 1638504 1843317 2096442 2106648 2174088 2445849 2457756 2795256 3261132 3686634 4192884 4891698 4915512 6522264 7337547 7373268 8385768 9783396 14675094 14746536 19566792 29350188 42071191 58700376 84142382 126213573 168284764 252427146 294498337 336569528 378640719 504854292 588996674 757281438 883495011 1009708584 1135922157 1177993348 1514562876 1766990022 2271844314 2355986696 2650485033 3029125752 3407766471 3533980044 4543688628 5300970066 6815532942 7067960088 7951455099 9087377256 10601940132 13631065884 15902910198 21203880264 23854365297 27262131768 31805820396 47708730594 63611640792 95417461188 190834922376