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109651050496 = 2141321992
BaseRepresentation
bin110011000011110110…
…1100100000000000000
3101111000202210111122101
41212013231210000000
53244031132103441
6122212322320144
710631153356651
oct1460755440000
9344022714571
10109651050496
1142559183199
1219301ab9054
13a456120c00
145442b0b528
152cbb66a231
hex1987b64000

109651050496 has 135 divisors (see below), whose sum is σ = 238661164161. Its totient is φ = 50353864704.

The previous prime is 109651050437. The next prime is 109651050521. The reversal of 109651050496 is 694050156901.

It is a happy number.

The square root of 109651050496 is 331136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16220569600 + 93430480896 = 127360^2 + 305664^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 551010205 + ... + 551010403.

Almost surely, 2109651050496 is an apocalyptic number.

109651050496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109651050496 is the 331136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109651050496

109651050496 is an abundant number, since it is smaller than the sum of its proper divisors (129010113665).

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

109651050496 is an frugal number, since it uses more digits than its factorization.

109651050496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 109651050496 in words is "one hundred nine billion, six hundred fifty-one million, fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 199 208 256 338 398 416 512 676 796 832 1024 1352 1592 1664 2048 2587 2704 3184 3328 4096 5174 5408 6368 6656 8192 10348 10816 12736 13312 16384 20696 21632 25472 26624 33631 39601 41392 43264 50944 53248 67262 79202 82784 86528 101888 106496 134524 158404 165568 173056 203776 212992 269048 316808 331136 346112 407552 514813 538096 633616 662272 692224 815104 1029626 1076192 1267232 1324544 1384448 1630208 2059252 2152384 2534464 2649088 2768896 3260416 4118504 4304768 5068928 5298176 6692569 8237008 8609536 10137856 10596352 13385138 16474016 17219072 20275712 21192704 26770276 32948032 34438144 40551424 42385408 53540552 65896064 68876288 81102848 107081104 131792128 137752576 162205696 214162208 263584256 275505152 324411392 428324416 527168512 551010304 648822784 856648832 1054337024 1713297664 2108674048 3426595328 4217348096 6853190656 8434696192 13706381312 27412762624 54825525248 109651050496