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14976319650 = 23521922331187
BaseRepresentation
bin11011111001010100…
…01000000010100010
31102122201120212100120
431330222020002202
5221132414212100
610514030301110
71040061421335
oct157452100242
942581525316
1014976319650
116395818686
122a9b657796
131548977706
14a2101c61c
155c9bd80a0
hex37ca880a2

14976319650 has 144 divisors (see below), whose sum is σ = 39400362144. Its totient is φ = 3764079360.

The previous prime is 14976319639. The next prime is 14976319661. The reversal of 14976319650 is 5691367941.

It is an interprime number because it is at equal distance from previous prime (14976319639) and next prime (14976319661).

It is a super-2 number, since 2×149763196502 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14976319593 and 14976319602.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12616357 + ... + 12617543.

It is an arithmetic number, because the mean of its divisors is an integer number (273613626).

Almost surely, 214976319650 is an apocalyptic number.

14976319650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14976319650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19700181072).

14976319650 is an abundant number, since it is smaller than the sum of its proper divisors (24424042494).

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

14976319650 is a wasteful number, since it uses less digits than its factorization.

14976319650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 14976319650 in words is "fourteen billion, nine hundred seventy-six million, three hundred nineteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 233 285 361 466 475 570 699 722 950 1083 1165 1187 1398 1425 1805 2166 2330 2374 2850 3495 3561 3610 4427 5415 5825 5935 6990 7122 8854 9025 10830 11650 11870 13281 17475 17805 18050 22135 22553 26562 27075 29675 34950 35610 44270 45106 54150 59350 66405 67659 84113 89025 110675 112765 132810 135318 168226 178050 221350 225530 252339 276571 332025 338295 420565 428507 504678 553142 563825 664050 676590 829713 841130 857014 1127650 1261695 1285521 1382855 1659426 1691475 2102825 2142535 2523390 2571042 2765710 3382950 4148565 4205650 4285070 5254849 6308475 6427605 6914275 8297130 10509698 10712675 12616950 12855210 13828550 15764547 20742825 21425350 26274245 31529094 32138025 41485650 52548490 64276050 78822735 99842131 131371225 157645470 199684262 262742450 299526393 394113675 499210655 599052786 788227350 998421310 1497631965 2496053275 2995263930 4992106550 7488159825 14976319650