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5177375140 = 22571012271613
BaseRepresentation
bin1001101001001100…
…00111100110100100
3111100211010220111211
410310212013212210
541100402001030
62213425041204
7242204651110
oct46446074644
914324126454
105177375140
112217547633
121005a86204
13646823ab2
14371874740
152047e212a
hex1349879a4

5177375140 has 96 divisors (see below), whose sum is σ = 12611821824. Its totient is φ = 1748697600.

The previous prime is 5177375123. The next prime is 5177375207. The reversal of 5177375140 is 415737715.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5177375093 and 5177375102.

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, 3208974 + ... + 3210586.

It is an arithmetic number, because the mean of its divisors is an integer number (131373144).

Almost surely, 25177375140 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 5177375140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305910912).

5177375140 is an abundant number, since it is smaller than the sum of its proper divisors (7434446684).

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

5177375140 is a wasteful number, since it uses less digits than its factorization.

5177375140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 40.

The square root of 5177375140 is about 71953.9793201182. The cubic root of 5177375140 is about 1729.9619246078.

The spelling of 5177375140 in words is "five billion, one hundred seventy-seven million, three hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 227 404 454 505 707 908 1010 1135 1414 1589 1613 2020 2270 2828 3178 3226 3535 4540 6356 6452 7070 7945 8065 11291 14140 15890 16130 22582 22927 31780 32260 45164 45854 56455 91708 112910 114635 160489 162913 225820 229270 320978 325826 366151 458540 641956 651652 732302 802445 814565 1140391 1464604 1604890 1629130 1830755 2280782 2563057 3209780 3258260 3661510 4561564 5126114 5701955 7323020 10252228 11403910 12815285 22807820 25630570 36981251 51261140 73962502 147925004 184906255 258868757 369812510 517737514 739625020 1035475028 1294343785 2588687570 5177375140