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4051137740 = 22513174719501
BaseRepresentation
bin1111000101110111…
…0111010011001100
3101110022221010020112
43301131313103030
531244042401430
61505553535152
7202251050126
oct36135672314
911408833215
104051137740
111799841821
129508744b8
134c73b7930
142a6066216
1518a9c7195
hexf17774cc

4051137740 has 96 divisors (see below), whose sum is σ = 9907640064. Its totient is φ = 1377792000.

The previous prime is 4051137721. The next prime is 4051137773. The reversal of 4051137740 is 477311504.

It is a junction number, because it is equal to n+sod(n) for n = 4051137697 and 4051137706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197990 + ... + 217490.

It is an arithmetic number, because the mean of its divisors is an integer number (103204584).

Almost surely, 24051137740 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 4051137740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953820032).

4051137740 is an abundant number, since it is smaller than the sum of its proper divisors (5856502324).

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

4051137740 is a wasteful number, since it uses less digits than its factorization.

4051137740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19587 (or 19585 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 4051137740 is about 63648.5486087468. The cubic root of 4051137740 is about 1594.1371026583.

The spelling of 4051137740 in words is "four billion, fifty-one million, one hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 47 52 65 68 85 94 130 170 188 221 235 260 340 442 470 611 799 884 940 1105 1222 1598 2210 2444 3055 3196 3995 4420 6110 7990 10387 12220 15980 19501 20774 39002 41548 51935 78004 97505 103870 195010 207740 253513 331517 390020 507026 663034 916547 1014052 1267565 1326068 1657585 1833094 2535130 3315170 3666188 4309721 4582735 5070260 6630340 8619442 9165470 11915111 15581299 17238884 18330940 21548605 23830222 31162598 43097210 47660444 59575555 62325196 77906495 86194420 119151110 155812990 202556887 238302220 311625980 405113774 810227548 1012784435 2025568870 4051137740