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109011178070952 = 233315322912072209
BaseRepresentation
bin11000110010010100100100…
…100010111010001110101000
3112021222100220102122012021220
4120302110210202322032220
5103242014343041232302
61023503013250102040
731650540421015623
oct3062244442721650
9467870812565256
10109011178070952
1131809421118473
121028711ab7a920
1348a992caaa0b1
141ccc2522bcdba
15c9096e4b24bc
hex6325248ba3a8

109011178070952 has 128 divisors (see below), whose sum is σ = 287878748544000. Its totient is φ = 34350743531520.

The previous prime is 109011178070923. The next prime is 109011178070957. The reversal of 109011178070952 is 259070871110901.

It is a junction number, because it is equal to n+sod(n) for n = 109011178070895 and 109011178070904.

It is not an unprimeable number, because it can be changed into a prime (109011178070957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2993824 + ... + 15066032.

It is an arithmetic number, because the mean of its divisors is an integer number (2249052723000).

Almost surely, 2109011178070952 is an apocalyptic number.

109011178070952 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 109011178070952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143939374272000).

109011178070952 is an abundant number, since it is smaller than the sum of its proper divisors (178867570473048).

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

109011178070952 is a wasteful number, since it uses less digits than its factorization.

109011178070952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072531 (or 12072527 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 51.

The spelling of 109011178070952 in words is "one hundred nine trillion, eleven billion, one hundred seventy-eight million, seventy thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 229 248 318 372 424 458 636 687 744 916 1272 1374 1643 1832 2748 3286 4929 5496 6572 7099 9858 12137 13144 14198 19716 21297 24274 28396 36411 39432 42594 48548 56792 72822 85188 97096 145644 170376 291288 376247 752494 1128741 1504988 2257482 3009976 4514964 9029928 12072209 24144418 36216627 48288836 72433254 96577672 144866508 289733016 374238479 639827077 748476958 1122715437 1279654154 1496953916 1919481231 2245430874 2559308308 2764535861 2993907832 3838962462 4490861748 5118616616 5529071722 7677924924 8293607583 8981723496 11058143444 15355849848 16587215166 19834639387 22116286888 33174430332 39669278774 59503918161 66348860664 79338557548 85700611691 119007836322 146520400633 158677115096 171401223382 238015672644 257101835073 293040801266 342802446764 439561201899 476031345288 514203670146 586081602532 685604893528 879122403798 1028407340292 1172163205064 1758244807596 2056814680584 3516489615192 4542132419623 9084264839246 13626397258869 18168529678492 27252794517738 36337059356984 54505589035476 109011178070952