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19893014316 = 22337212729599
BaseRepresentation
bin10010100001101101…
…110100111100101100
31220100101012211111000
4102201231310330230
5311220102424231
613045544200300
71302652555200
oct224155647454
956311184430
1019893014316
1184890a70aa
123a32169090
131b504895b6
14d69dd6b00
157b66866e6
hex4a1b74f2c

19893014316 has 144 divisors (see below), whose sum is σ = 60469248000. Its totient is φ = 5638774176.

The previous prime is 19893014299. The next prime is 19893014333. The reversal of 19893014316 is 61341039891.

It is an interprime number because it is at equal distance from previous prime (19893014299) and next prime (19893014333).

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, 657285 + ... + 686883.

Almost surely, 219893014316 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 19893014316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30234624000).

19893014316 is an abundant number, since it is smaller than the sum of its proper divisors (40576233684).

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

19893014316 is a wasteful number, since it uses less digits than its factorization.

19893014316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29753 (or 29738 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 19893014316 in words is "nineteen billion, eight hundred ninety-three million, fourteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 127 147 189 196 252 254 294 378 381 441 508 588 756 762 882 889 1143 1323 1524 1764 1778 2286 2646 2667 3429 3556 4572 5292 5334 6223 6858 8001 10668 12446 13716 16002 18669 24003 24892 29599 32004 37338 48006 56007 59198 74676 88797 96012 112014 118396 168021 177594 207193 224028 266391 336042 355188 414386 532782 621579 672084 799173 828772 1065564 1243158 1450351 1598346 1864737 2486316 2900702 3196692 3729474 3759073 4351053 5594211 5801404 7458948 7518146 8702106 11188422 11277219 13053159 15036292 17404212 22376844 22554438 26106318 26313511 33831657 39159477 45108876 52212636 52627022 67663314 78318954 78940533 101494971 105254044 135326628 156637908 157881066 184194577 202989942 236821599 315762132 368389154 405979884 473643198 552583731 710464797 736778308 947286396 1105167462 1420929594 1657751193 2210334924 2841859188 3315502386 4973253579 6631004772 9946507158 19893014316