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19927305840 = 24351312750291
BaseRepresentation
bin10010100011110000…
…101000111001110000
31220102202202000121110
4102203300220321300
5311302342241330
613053211153320
71303550206401
oct224360507160
956382660543
1019927305840
1184a6498902
123a41745840
131b57604a40
14d707a19a8
157b96abdb0
hex4a3c28e70

19927305840 has 160 divisors (see below), whose sum is σ = 67051708416. Its totient is φ = 4866462720.

The previous prime is 19927305817. The next prime is 19927305841. The reversal of 19927305840 is 4850372991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19927305840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19927305841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371095 + ... + 421385.

Almost surely, 219927305840 is an apocalyptic number.

19927305840 is a gapful number since it is divisible by the number (10) 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 19927305840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33525854208).

19927305840 is an abundant number, since it is smaller than the sum of its proper divisors (47124402576).

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

19927305840 is a wasteful number, since it uses less digits than its factorization.

19927305840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50447 (or 50441 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 19927305840 in words is "nineteen billion, nine hundred twenty-seven million, three hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 127 130 156 195 208 240 254 260 312 381 390 508 520 624 635 762 780 1016 1040 1270 1524 1560 1651 1905 2032 2540 3048 3120 3302 3810 4953 5080 6096 6604 7620 8255 9906 10160 13208 15240 16510 19812 24765 26416 30480 33020 39624 49530 50291 66040 79248 99060 100582 132080 150873 198120 201164 251455 301746 396240 402328 502910 603492 653783 754365 804656 1005820 1206984 1307566 1508730 1961349 2011640 2413968 2615132 3017460 3268915 3922698 4023280 5230264 6034920 6386957 6537830 7845396 9806745 10460528 12069840 12773914 13075660 15690792 19160871 19613490 25547828 26151320 31381584 31934785 38321742 39226980 51095656 52302640 63869570 76643484 78453960 83030441 95804355 102191312 127739140 153286968 156907920 166060882 191608710 249091323 255478280 306573936 332121764 383217420 415152205 498182646 510956560 664243528 766434840 830304410 996365292 1245456615 1328487056 1532869680 1660608820 1992730584 2490913230 3321217640 3985461168 4981826460 6642435280 9963652920 19927305840