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47133455084328 = 233293171451147229
BaseRepresentation
bin10101011011110000111001…
…10110001110101100101000
320011212220200112011200222210
422231320130312032230220
522134213304000144303
6244124451011245120
712633164645600364
oct1255703466165450
9204786615150883
1047133455084328
11140222056a0538
1253529428a97a0
13203b8868390c2
14b8d3b2a062a4
1556b0b1768203
hex2ade1cd8eb28

47133455084328 has 128 divisors (see below), whose sum is σ = 122366504304000. Its totient is φ = 15111010790400.

The previous prime is 47133455084267. The next prime is 47133455084333. The reversal of 47133455084328 is 82348055433174.

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, 320063418 + ... + 320210646.

It is an arithmetic number, because the mean of its divisors is an integer number (955988314875).

Almost surely, 247133455084328 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 47133455084328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61183252152000).

47133455084328 is an abundant number, since it is smaller than the sum of its proper divisors (75233049219672).

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

47133455084328 is a wasteful number, since it uses less digits than its factorization.

47133455084328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149035 (or 149031 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 47133455084328 in words is "forty-seven trillion, one hundred thirty-three billion, four hundred fifty-five million, eighty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 317 348 634 696 951 1268 1451 1902 2536 2902 3804 4353 5804 7608 8706 9193 11608 17412 18386 27579 34824 36772 42079 55158 73544 84158 110316 126237 147229 168316 220632 252474 294458 336632 441687 459967 504948 588916 883374 919934 1009896 1177832 1379901 1766748 1839868 2759802 3533496 3679736 4269641 5519604 8539282 11039208 12808923 13339043 17078564 25617846 26678086 34157128 40017129 46671593 51235692 53356172 80034258 93343186 102471384 106712344 140014779 160068516 186686372 213629279 280029558 320137032 373372744 427258558 560059116 640887837 854517116 1120118232 1281775674 1353476197 1709034232 2563551348 2706952394 4060428591 5127102696 5413904788 6195249091 8120857182 10827809576 12390498182 16241714364 18585747273 24780996364 32483428728 37171494546 49561992728 67720481443 74342989092 135440962886 148685978184 203161444329 270881925772 406322888658 541763851544 812645777316 1625291554632 1963893961847 3927787923694 5891681885541 7855575847388 11783363771082 15711151694776 23566727542164 47133455084328