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2083157356 = 2271741173617
BaseRepresentation
bin111110000101010…
…0111010101101100
312101011211100200011
41330022213111230
513231242013411
6542413143004
7102423355030
oct17412472554
95334740604
102083157356
11979984a55
124a178aa64
132727718b7
1415a9441c0
15c2d3bc21
hex7c2a756c

2083157356 has 96 divisors (see below), whose sum is σ = 4552474752. Its totient is φ = 813711360.

The previous prime is 2083157347. The next prime is 2083157369. The reversal of 2083157356 is 6537513802.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3375960 + ... + 3376576.

It is an arithmetic number, because the mean of its divisors is an integer number (47421612).

Almost surely, 22083157356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083157356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276237376).

2083157356 is an abundant number, since it is smaller than the sum of its proper divisors (2469317396).

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

2083157356 is a wasteful number, since it uses less digits than its factorization.

2083157356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 2083157356 is about 45641.6186829521. The cubic root of 2083157356 is about 1277.1464254859.

It can be divided in two parts, 20831 and 57356, that added together give a palindrome (78187).

The spelling of 2083157356 in words is "two billion, eighty-three million, one hundred fifty-seven thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 173 238 287 346 476 574 617 692 697 1148 1211 1234 1394 2422 2468 2788 2941 4319 4844 4879 5882 7093 8638 9758 10489 11764 14186 17276 19516 20587 20978 25297 28372 41174 41956 49651 50594 73423 82348 99302 101188 106741 120581 146846 177079 198604 213482 241162 293692 354158 426964 430049 482324 708316 747187 844067 860098 1494374 1688134 1720196 1814597 2988748 3010343 3376268 3629194 4376381 6020686 7258388 8752762 12041372 12702179 17505524 25404358 30634667 50808716 61269334 74398477 122538668 148796954 297593908 520789339 1041578678 2083157356