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5177012120 = 235783331673
BaseRepresentation
bin1001101001001001…
…01110111110011000
3111100210110110112122
410310210232332120
541100303341440
62213413200412
7242201606540
oct46444567630
914323413478
105177012120
112217319915
121005930108
136467277a7
143717bc320
1520476e7b5
hex13492ef98

5177012120 has 128 divisors (see below), whose sum is σ = 13533488640. Its totient is φ = 1745694720.

The previous prime is 5177012117. The next prime is 5177012143. The reversal of 5177012120 is 212107715.

It is a self number, because there is not a number n which added to its sum of digits gives 5177012120.

It is a congruent number.

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, 7692104 + ... + 7692776.

It is an arithmetic number, because the mean of its divisors is an integer number (105730380).

Almost surely, 25177012120 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 5177012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766744320).

5177012120 is an abundant number, since it is smaller than the sum of its proper divisors (8356476520).

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

5177012120 is a wasteful number, since it uses less digits than its factorization.

5177012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 5177012120 is about 71951.4566912999. The cubic root of 5177012120 is about 1729.9214906402.

Adding to 5177012120 its reverse (212107715), we get a palindrome (5389119835).

The spelling of 5177012120 in words is "five billion, one hundred seventy-seven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 331 332 415 581 662 664 673 830 1162 1324 1346 1655 1660 2317 2324 2648 2692 2905 3310 3320 3365 4634 4648 4711 5384 5810 6620 6730 9268 9422 11585 11620 13240 13460 18536 18844 23170 23240 23555 26920 27473 37688 46340 47110 54946 55859 92680 94220 109892 111718 137365 188440 192311 219784 222763 223436 274730 279295 384622 391013 445526 446872 549460 558590 769244 782026 891052 961555 1098920 1113815 1117180 1538488 1559341 1564052 1782104 1923110 1955065 2227630 2234360 3118682 3128104 3846220 3910130 4455260 6237364 7692440 7796705 7820260 8910520 12474728 15593410 15640520 18489329 31186820 36978658 62373640 73957316 92446645 129425303 147914632 184893290 258850606 369786580 517701212 647126515 739573160 1035402424 1294253030 2588506060 5177012120