Search a number
-
+
1272091916130 = 235732299187547
BaseRepresentation
bin10010100000101110100…
…101100011011101100010
311111121111021100220022020
4102200232211203131202
5131320221012304010
62412220240322310
7160622423610360
oct22405645433542
94447437326266
101272091916130
114505447a5772
12186659013396
1392c5b24c849
14457d8cc4630
1523153cb8470
hex1282e963762

1272091916130 has 64 divisors (see below), whose sum is σ = 3489293030400. Its totient is φ = 290753313984.

The previous prime is 1272091916129. The next prime is 1272091916149. The reversal of 1272091916130 is 316191902721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6689017 + ... + 6876563.

It is an arithmetic number, because the mean of its divisors is an integer number (54520203600).

Almost surely, 21272091916130 is an apocalyptic number.

1272091916130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1272091916130 is an abundant number, since it is smaller than the sum of its proper divisors (2217201114270).

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

1272091916130 is a wasteful number, since it uses less digits than its factorization.

1272091916130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219863.

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 1272091916130 in words is "one trillion, two hundred seventy-two billion, ninety-one million, nine hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 32299 64598 96897 161495 187547 193794 226093 322990 375094 452186 484485 562641 678279 937735 968970 1125282 1130465 1312829 1356558 1875470 2260930 2625658 2813205 3391395 3938487 5626410 6564145 6782790 7876974 13128290 19692435 39384870 6057580553 12115161106 18172741659 30287902765 36345483318 42403063871 60575805530 84806127742 90863708295 127209191613 181727416590 212015319355 254418383226 424030638710 636045958065 1272091916130