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10542454320 = 2435612692677
BaseRepresentation
bin10011101000110000…
…10001011000110000
31000012201111011120010
421310120101120300
5133042332014240
64502041214520
7522152245266
oct116430213060
930181434503
1010542454320
11451aa38a72
122062791440
13cc01b8268
1472020a436
1541a810280
hex274611630

10542454320 has 160 divisors (see below), whose sum is σ = 33353311680. Its totient is φ = 2753925120.

The previous prime is 10542454313. The next prime is 10542454339. The reversal of 10542454320 is 2345424501.

It is a super-2 number, since 2×105424543202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 3936822 + ... + 3939498.

It is an arithmetic number, because the mean of its divisors is an integer number (208458198).

Almost surely, 210542454320 is an apocalyptic number.

10542454320 is a gapful number since it is divisible by the number (10) 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 10542454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676655840).

10542454320 is an abundant number, since it is smaller than the sum of its proper divisors (22810857360).

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

10542454320 is a wasteful number, since it uses less digits than its factorization.

10542454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 10542454320 its reverse (2345424501), we get a palindrome (12887878821).

The spelling of 10542454320 in words is "ten billion, five hundred forty-two million, four hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 269 305 366 488 538 610 732 807 915 976 1076 1220 1345 1464 1614 1830 2152 2440 2677 2690 2928 3228 3660 4035 4304 4880 5354 5380 6456 7320 8031 8070 10708 10760 12912 13385 14640 16062 16140 16409 21416 21520 26770 32124 32280 32818 40155 42832 49227 53540 64248 64560 65636 80310 82045 98454 107080 128496 131272 160620 163297 164090 196908 214160 246135 262544 321240 326594 328180 393816 489891 492270 642480 653188 656360 720113 787632 816485 979782 984540 1306376 1312720 1440226 1632970 1959564 1969080 2160339 2449455 2612752 2880452 3265940 3600565 3919128 3938160 4320678 4898910 5760904 6531880 7201130 7838256 8641356 9797820 10801695 11521808 13063760 14402260 17282712 19595640 21603390 28804520 34565424 39191280 43206780 43926893 57609040 86413560 87853786 131780679 172827120 175707572 219634465 263561358 351415144 439268930 527122716 658903395 702830288 878537860 1054245432 1317806790 1757075720 2108490864 2635613580 3514151440 5271227160 10542454320