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5125417956148 = 2272292713327407
BaseRepresentation
bin100101010010101101010…
…1101110111001100110100
3200010222121012010102112011
41022211122231313030310
51132433323444044043
614522330130334004
71036204430541100
oct112453255671464
920128535112464
105125417956148
1116a674a8a9296
126a941012a304
132b242b897839
1413a1004aa900
158d4cd18c59d
hex4a95ab77334

5125417956148 has 72 divisors (see below), whose sum is σ = 10833508062720. Its totient is φ = 2113035906240.

The previous prime is 5125417956133. The next prime is 5125417956157. The reversal of 5125417956148 is 8416597145215.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 5125417956092 and 5125417956101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123340 + ... + 3204067.

It is an arithmetic number, because the mean of its divisors is an integer number (150465389760).

Almost surely, 25125417956148 is an apocalyptic number.

5125417956148 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5125417956148 is an abundant number, since it is smaller than the sum of its proper divisors (5708090106572).

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

5125417956148 is a wasteful number, since it uses less digits than its factorization.

5125417956148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327725 (or 3327716 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 58.

The spelling of 5125417956148 in words is "five trillion, one hundred twenty-five billion, four hundred seventeen million, nine hundred fifty-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 271 406 542 812 1084 1421 1897 2842 3794 5684 7588 7859 13279 15718 26558 31436 53116 55013 110026 220052 385091 770182 1540364 3327407 6654814 13309628 23291849 46583698 93167396 96494803 163042943 192989606 326085886 385979212 652171772 675463621 901727297 1350927242 1803454594 2701854484 3606909188 4728245347 6312091079 9456490694 12624182158 18912981388 25248364316 26150091613 44184637553 52300183226 88369275106 104600366452 176738550212 183050641291 366101282582 732202565164 1281354489037 2562708978074 5125417956148