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99942397380 = 223257152352081
BaseRepresentation
bin101110100010100000…
…1111111010111000100
3100112222011020211022100
41131011001333113010
53114140223204010
6113525104232100
710135444234560
oct1350501772704
9315864224270
1099942397380
1139426972431
121745260b630
1395698c1a57
144ba15486a0
1528ee15c2c0
hex174507f5c4

99942397380 has 144 divisors (see below), whose sum is σ = 346701124224. Its totient is φ = 22828538880.

The previous prime is 99942397343. The next prime is 99942397381. The reversal of 99942397380 is 8379324999.

99942397380 is a `hidden beast` number, since 9 + 99 + 423 + 97 + 38 + 0 = 666.

99942397380 is digitally balanced in base 3, 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 (63).

It is not an unprimeable number, because it can be changed into a prime (99942397381) 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 47 ways as a sum of consecutive naturals, for example, 1892940 + ... + 1945020.

It is an arithmetic number, because the mean of its divisors is an integer number (2407646696).

Almost surely, 299942397380 is an apocalyptic number.

99942397380 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 99942397380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173350562112).

99942397380 is an abundant number, since it is smaller than the sum of its proper divisors (246758726844).

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

99942397380 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (99942397379) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (53626).

99942397380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53626 (or 53621 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 99942397380 in words is "ninety-nine billion, nine hundred forty-two million, three hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1523 3046 4569 6092 7615 9138 10661 13707 15230 18276 21322 22845 27414 30460 31983 42644 45690 52081 53305 54828 63966 68535 91380 95949 104162 106610 127932 137070 156243 159915 191898 208324 213220 260405 274140 312486 319830 364567 383796 468729 479745 520810 624972 639660 729134 781215 937458 959490 1041620 1093701 1458268 1562430 1822835 1874916 1918980 2187402 2343645 3124860 3281103 3645670 4374804 4687290 5468505 6562206 7291340 9374580 10937010 13124412 16405515 21874020 32811030 65622060 79319363 158638726 237958089 317277452 396596815 475916178 555235541 713874267 793193630 951832356 1110471082 1189790445 1427748534 1586387260 1665706623 2220942164 2379580890 2776177705 2855497068 3331413246 3569371335 4759161780 4997119869 5552355410 6662826492 7138742670 8328533115 9994239738 11104710820 14277485340 16657066230 19988479476 24985599345 33314132460 49971198690 99942397380