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5106971371960 = 2357911330834639
BaseRepresentation
bin100101001010000111100…
…1101101110100110111000
3200002012222121121212011101
41022110033031232212320
51132133034132400320
614510035452141144
71034652340264213
oct112241715564670
920065877555141
105106971371960
111699944223597
126a59224677b4
132b077bc95273
1413927063077a
158cc9d9bcc0a
hex4a50f36e9b8

5106971371960 has 128 divisors (see below), whose sum is σ = 11745451008000. Its totient is φ = 1998002313216.

The previous prime is 5106971371937. The next prime is 5106971372033. The reversal of 5106971371960 is 691731796015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100875321 + ... + 1100879959.

It is an arithmetic number, because the mean of its divisors is an integer number (91761336000).

Almost surely, 25106971371960 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 5106971371960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872725504000).

5106971371960 is an abundant number, since it is smaller than the sum of its proper divisors (6638479636040).

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

5106971371960 is a wasteful number, since it uses less digits than its factorization.

5106971371960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7925 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 55.

The spelling of 5106971371960 in words is "five trillion, one hundred six billion, nine hundred seventy-one million, three hundred seventy-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 79 113 158 226 316 395 452 565 632 790 904 1130 1580 2260 3083 3160 4520 4639 6166 8927 9278 12332 15415 17854 18556 23195 24664 30830 35708 37112 44635 46390 61660 71416 89270 92780 123320 178540 185560 243557 348379 357080 366481 487114 524207 696758 732962 974228 1048414 1217785 1393516 1465924 1741895 1832405 1948456 2096828 2435570 2621035 2787032 2931848 3483790 3664810 4193656 4871140 5242070 6967580 7329620 9742280 10484140 13935160 14302037 14659240 20968280 27521941 28604074 41412353 55043882 57208148 71510185 82824706 110087764 114416296 137609705 143020370 165649412 207061765 220175528 275219410 286040740 331298824 414123530 550438820 572081480 828247060 1100877640 1129860923 1616130181 1656494120 2259721846 3232260362 4519443692 5649304615 6464520724 8080650905 9038887384 11298609230 12929041448 16161301810 22597218460 32322603620 45194436920 64645207240 127674284299 255348568598 510697137196 638371421495 1021394274392 1276742842990 2553485685980 5106971371960