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4117028869620 = 22325196012003011
BaseRepresentation
bin111011111010010010000…
…010110001010111110100
3112120120202211011020202200
4323322102002301113310
51014423133342311440
612431200440504500
7603305545662612
oct73722202612764
915516684136680
104117028869620
111348027514537
12565aa877b130
1323b307598b94
1410339dc366b2
15721601c0c30
hex3be920b15f4

4117028869620 has 144 divisors (see below), whose sum is σ = 13167480406080. Its totient is φ = 1038360384000.

The previous prime is 4117028869589. The next prime is 4117028869627. The reversal of 4117028869620 is 269688207114.

It is a happy number.

4117028869620 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 0 + 2 + 8 + 8 + 6 + 9 + 620 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117028869627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053915 + ... + 3056925.

Almost surely, 24117028869620 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 4117028869620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583740203040).

4117028869620 is an abundant number, since it is smaller than the sum of its proper divisors (9050451536460).

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

4117028869620 is a wasteful number, since it uses less digits than its factorization.

4117028869620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003646 (or 2003641 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 4117028869620 in words is "four trillion, one hundred seventeen billion, twenty-eight million, eight hundred sixty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 601 684 855 1140 1202 1710 1803 2404 3005 3420 3606 5409 6010 7212 9015 10818 11419 12020 18030 21636 22838 27045 34257 36060 45676 54090 57095 68514 102771 108180 114190 137028 171285 205542 228380 342570 411084 513855 685140 1027710 2003011 2055420 4006022 6009033 8012044 10015055 12018066 18027099 20030110 24036132 30045165 36054198 38057209 40060220 60090330 72108396 76114418 90135495 114171627 120180660 152228836 180270990 190286045 228343254 342514881 360541980 380572090 456686508 570858135 685029762 761144180 1141716270 1203809611 1370059524 1712574405 2283432540 2407619222 3425148810 3611428833 4815238444 6019048055 6850297620 7222857666 10834286499 12038096110 14445715332 18057144165 21668572998 22872382609 24076192220 36114288330 43337145996 45744765218 54171432495 68617147827 72228576660 91489530436 108342864990 114361913045 137234295654 205851443481 216685729980 228723826090 274468591308 343085739135 411702886962 457447652180 686171478270 823405773924 1029257217405 1372342956540 2058514434810 4117028869620