Search a number
-
+
12787333152 = 2531112109217
BaseRepresentation
bin10111110100010111…
…10011100000100000
31020000011121211101120
423322023303200200
5202142024130102
65512512532240
7631611352446
oct137213634040
936004554346
1012787333152
115472130730
12258a551080
13128a301029
1489440ab96
154ec9446bc
hex2fa2f3820

12787333152 has 48 divisors (see below), whose sum is σ = 36618275232. Its totient is φ = 3874949120.

The previous prime is 12787333121. The next prime is 12787333171. The reversal of 12787333152 is 25133378721.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6053553 + ... + 6055664.

It is an arithmetic number, because the mean of its divisors is an integer number (762880734).

Almost surely, 212787333152 is an apocalyptic number.

12787333152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12787333152 is an abundant number, since it is smaller than the sum of its proper divisors (23830942080).

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

12787333152 is a wasteful number, since it uses less digits than its factorization.

12787333152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109241 (or 12109233 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The spelling of 12787333152 in words is "twelve billion, seven hundred eighty-seven million, three hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12109217 24218434 36327651 48436868 72655302 96873736 133201387 145310604 193747472 266402774 290621208 387494944 399604161 532805548 581242416 799208322 1065611096 1162484832 1598416644 2131222192 3196833288 4262444384 6393666576 12787333152