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42909000012816 = 2437314119527651
BaseRepresentation
bin10011100000110100001111…
…01101000001010000010000
312121221001121222122222002220
421300122013231001100100
521111010113000402231
6231132042242141040
712016034010135540
oct1160320755012020
9177831558588086
1042909000012816
1112743671965573
124990075351780
131ac33bc070cb2
14a84b4176b320
154e6265406896
hex270687b41410

42909000012816 has 80 divisors (see below), whose sum is σ = 130770285785088. Its totient is φ = 11864239632000.

The previous prime is 42909000012793. The next prime is 42909000012817. The reversal of 42909000012816 is 61821000090924.

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

It is not an unprimeable number, because it can be changed into a prime (42909000012817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2059753410 + ... + 2059774241.

Almost surely, 242909000012816 is an apocalyptic number.

It is an amenable number.

42909000012816 is an abundant number, since it is smaller than the sum of its proper divisors (87861285772272).

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

42909000012816 is a wasteful number, since it uses less digits than its factorization.

42909000012816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119527700 (or 4119527694 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 42909000012816 in words is "forty-two trillion, nine hundred nine billion, twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 4119527651 8239055302 12358582953 16478110604 24717165906 28836693557 32956221208 49434331812 57673387114 65912442416 86510080671 98868663624 115346774228 127705357181 173020161342 197737327248 230693548456 255410714362 346040322684 383116071543 461387096912 510821428724 692080645368 766232143086 893937500267 1021642857448 1384161290736 1532464286172 1787875000534 2043285714896 2681812500801 3064928572344 3575750001068 5363625001602 6129857144688 7151500002136 10727250003204 14303000004272 21454500006408 42909000012816