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9977660084420 = 2257157817955501
BaseRepresentation
bin1001000100110001101011…
…1000101001000011000100
31022022212002021201221211122
42101030122320221003010
52301433221440200140
633115401311053112
72046601501242140
oct221143270510304
938285067657748
109977660084420
1131a7558000876
1211518a2211198
13574b73a71472
14266cc8188220
1512481da6dab5
hex9131ae290c4

9977660084420 has 96 divisors (see below), whose sum is σ = 24102289639680. Its totient is φ = 3398645952000.

The previous prime is 9977660084419. The next prime is 9977660084467. The reversal of 9977660084420 is 244800667799.

It is a super-3 number, since 3×99776600844203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179746670 + ... + 179802170.

It is an arithmetic number, because the mean of its divisors is an integer number (251065517080).

Almost surely, 29977660084420 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 9977660084420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051144819840).

9977660084420 is an abundant number, since it is smaller than the sum of its proper divisors (14124629555260).

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

9977660084420 is a wasteful number, since it uses less digits than its factorization.

9977660084420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63853 (or 63851 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 62.

The spelling of 9977660084420 in words is "nine trillion, nine hundred seventy-seven billion, six hundred sixty million, eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1570 2198 3140 4396 5495 8179 10990 16358 21980 32716 40895 55501 57253 81790 111002 114506 163580 222004 229012 277505 286265 388507 555010 572530 777014 1110020 1145060 1284103 1554028 1942535 2568206 3885070 5136412 6420515 7770140 8713657 8988721 12841030 17427314 17977442 25682060 34854628 35954884 43568285 44943605 60995599 87136570 89887210 121991198 174273140 179774420 243982396 304977995 453942679 609955990 907885358 1219911980 1815770716 2269713395 3177598753 4539426790 6355197506 9078853580 12710395012 15887993765 31775987530 63551975060 71269000603 142538001206 285076002412 356345003015 498883004221 712690006030 997766008442 1425380012060 1995532016884 2494415021105 4988830042210 9977660084420