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237042488394 = 23489119313781
BaseRepresentation
bin1101110011000011010…
…1010101010001001010
3211122211220021001210000
43130300311111101022
512340430334112034
6300521255103430
723061063622665
oct3346065252112
9748756231700
10237042488394
1191590339a78
1239b35071b76
131947874556a
14b6899866dc
1562754ab599
hex3730d5544a

237042488394 has 80 divisors (see below), whose sum is σ = 537607980360. Its totient is φ = 78055211520.

The previous prime is 237042488383. The next prime is 237042488407. The reversal of 237042488394 is 493884240732.

237042488394 is a `hidden beast` number, since 2 + 3 + 7 + 0 + 4 + 248 + 8 + 394 = 666.

237042488394 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179363261169 + 57679227225 = 423513^2 + 240165^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 237042488394.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17193784 + ... + 17207564.

Almost surely, 2237042488394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 237042488394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268803990180).

237042488394 is an abundant number, since it is smaller than the sum of its proper divisors (300565491966).

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

237042488394 is a wasteful number, since it uses less digits than its factorization.

237042488394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15077 (or 15068 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 237042488394 in words is "two hundred thirty-seven billion, forty-two million, four hundred eighty-eight thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1193 1602 2386 2403 3579 4806 7158 7209 10737 13781 14418 21474 27562 32211 41343 64422 82686 96633 106177 124029 193266 212354 248058 318531 372087 637062 744174 955593 1116261 1226509 1911186 2232522 2453018 2866779 3679527 5733558 7359054 8600337 11038581 16440733 17200674 22077162 32881466 33115743 49322199 66231486 98644398 99347229 147966597 198694458 295933194 443899791 887799582 1331699373 1463225237 2663398746 2926450474 4389675711 8779351422 13169027133 26338054266 39507081399 79014162798 118521244197 237042488394