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2071985188 = 22721319127337
BaseRepresentation
bin111101101111111…
…1111110000100100
312100101210202100011
41323133333300210
513220412011223
6541333500004
7102226404100
oct17337776044
95311722304
102071985188
11973644159
12499aa1604
1327035c650
14159276900
15c1d8180d
hex7b7ffc24

2071985188 has 144 divisors (see below), whose sum is σ = 4833454080. Its totient is φ = 768144384.

The previous prime is 2071985173. The next prime is 2071985203. The reversal of 2071985188 is 8815891702.

It is an interprime number because it is at equal distance from previous prime (2071985173) and next prime (2071985203).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6148156 + ... + 6148492.

Almost surely, 22071985188 is an apocalyptic number.

2071985188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2071985188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416727040).

2071985188 is an abundant number, since it is smaller than the sum of its proper divisors (2761468892).

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

2071985188 is a wasteful number, since it uses less digits than its factorization.

2071985188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 49.

The square root of 2071985188 is about 45519.0640061942. The cubic root of 2071985188 is about 1274.8591797312.

The spelling of 2071985188 in words is "two billion, seventy-one million, nine hundred eighty-five thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 127 133 182 196 247 254 266 337 364 494 508 532 637 674 889 931 988 1274 1348 1651 1729 1778 1862 2359 2413 2548 3302 3458 3556 3724 4381 4718 4826 6223 6403 6604 6916 8762 9436 9652 11557 12103 12446 12806 16513 16891 17524 23114 24206 24892 25612 30667 31369 33026 33782 42799 44821 46228 48412 61334 62738 66052 67564 80899 83239 85598 89642 118237 122668 125476 161798 166478 171196 179284 214669 219583 236474 299593 313747 323596 332956 429338 439166 472948 556387 582673 599186 627494 813181 858676 878332 1112774 1165346 1198372 1254988 1537081 1626362 2097151 2225548 2330692 3074162 3252724 3894709 4078711 4194302 5692267 6148324 7789418 8157422 8388604 10571353 11384534 15578836 16314844 21142706 22769068 27262963 39845869 42285412 54525926 73999471 79691738 109051852 147998942 159383476 295997884 517996297 1035992594 2071985188