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92344309380 = 223254753205951
BaseRepresentation
bin101011000000000100…
…1100101011010000100
322211100122002222000200
41112000021211122010
53003110120400010
6110231123010500
76446243451531
oct1260011453204
9284318088020
1092344309380
1136187a56464
1215a91b09a30
13892870c5ab
1446803c1d88
1526070a1cc0
hex1580265684

92344309380 has 144 divisors (see below), whose sum is σ = 291469860864. Its totient is φ = 23646355200.

The previous prime is 92344309331. The next prime is 92344309423. The reversal of 92344309380 is 8390344329.

92344309380 is a `hidden beast` number, since 9 + 234 + 4 + 30 + 9 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345405 + ... + 551355.

It is an arithmetic number, because the mean of its divisors is an integer number (2024096256).

Almost surely, 292344309380 is an apocalyptic number.

92344309380 is a gapful number since it is divisible by the number (90) 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 92344309380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145734930432).

92344309380 is an abundant number, since it is smaller than the sum of its proper divisors (199125551484).

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

92344309380 is a wasteful number, since it uses less digits than its factorization.

92344309380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206066 (or 206061 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 92344309380 in words is "ninety-two billion, three hundred forty-four million, three hundred nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 53 60 90 94 106 141 159 180 188 212 235 265 282 318 423 470 477 530 564 636 705 795 846 940 954 1060 1410 1590 1692 1908 2115 2385 2491 2820 3180 4230 4770 4982 7473 8460 9540 9964 12455 14946 22419 24910 29892 37365 44838 49820 74730 89676 112095 149460 205951 224190 411902 448380 617853 823804 1029755 1235706 1853559 2059510 2471412 3089265 3707118 4119020 6178530 7414236 9267795 9679697 10915403 12357060 18535590 19359394 21830806 29039091 32746209 37071180 38718788 43661612 48398485 54577015 58078182 65492418 87117273 96796970 98238627 109154030 116156364 130984836 145195455 163731045 174234546 193593940 196477254 218308060 290390910 327462090 348469092 392954508 435586365 491193135 513023941 580781820 654924180 871172730 982386270 1026047882 1539071823 1742345460 1964772540 2052095764 2565119705 3078143646 4617215469 5130239410 6156287292 7695359115 9234430938 10260478820 15390718230 18468861876 23086077345 30781436460 46172154690 92344309380