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1934859877216 = 257337116322039
BaseRepresentation
bin11100001001111110101…
…000101011101101100000
320211222012201012202022221
4130021332220223231200
5223200043112032331
64040510134040424
7256534426411450
oct34117650535540
96758181182287
101934859877216
11686629a60472
12272ba47a9114
131105c1c27416
146990d4a1d60
15354e4395711
hex1c27ea2bb60

1934859877216 has 96 divisors (see below), whose sum is σ = 4370305605120. Its totient is φ = 826016679936.

The previous prime is 1934859877193. The next prime is 1934859877217. The reversal of 1934859877216 is 6127789584391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1934859877217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87781525 + ... + 87803563.

It is an arithmetic number, because the mean of its divisors is an integer number (45524016720).

Almost surely, 21934859877216 is an apocalyptic number.

1934859877216 is a gapful number since it is divisible by the number (16) 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 1934859877216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185152802560).

1934859877216 is an abundant number, since it is smaller than the sum of its proper divisors (2435445727904).

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

1934859877216 is a wasteful number, since it uses less digits than its factorization.

1934859877216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23556 (or 23548 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 70.

The spelling of 1934859877216 in words is "one trillion, nine hundred thirty-four billion, eight hundred fifty-nine million, eight hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 337 674 1163 1348 2326 2359 2696 4652 4718 5392 8141 9304 9436 10784 16282 18608 18872 22039 32564 37216 37744 44078 65128 75488 88156 130256 154273 176312 260512 308546 352624 391931 617092 705248 783862 1234184 1567724 2468368 2743517 3135448 4936736 5487034 6270896 7427143 10974068 12541792 14854286 21948136 25631357 29708572 43896272 51262714 51990001 59417144 87792544 102525428 103980002 118834288 179419499 205050856 207960004 237668576 358838998 410101712 415920008 717677996 820203424 831840016 1435355992 1663680032 2870711984 5741423968 8637767309 17275534618 34551069236 60464371163 69102138472 120928742326 138204276944 241857484652 276408553888 483714969304 967429938608 1934859877216