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4136756140 = 2251137593857
BaseRepresentation
bin1111011010010001…
…1110001110101100
3101200022000222121101
43312210132032230
531433002144030
61522253012444
7204340563346
oct36644361654
911608028541
104136756140
111833100130
12975484124
1350c0643ca
142b3592296
1519328a7ca
hexf691e3ac

4136756140 has 96 divisors (see below), whose sum is σ = 9760855104. Its totient is φ = 1459445760.

The previous prime is 4136756111. The next prime is 4136756153. The reversal of 4136756140 is 416576314.

It is a super-2 number, since 2×41367561402 = 34225502723655399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 4136756140.

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, 4826592 + ... + 4827448.

It is an arithmetic number, because the mean of its divisors is an integer number (101675574).

Almost surely, 24136756140 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 4136756140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880427552).

4136756140 is an abundant number, since it is smaller than the sum of its proper divisors (5624098964).

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

4136756140 is a wasteful number, since it uses less digits than its factorization.

4136756140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 4136756140 is about 64317.6192034500. The cubic root of 4136756140 is about 1605.2892844635.

The spelling of 4136756140 in words is "four billion, one hundred thirty-six million, seven hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 593 740 814 857 1186 1628 1714 2035 2372 2965 3428 4070 4285 5930 6523 8140 8570 9427 11860 13046 17140 18854 21941 26092 31709 32615 37708 43882 47135 63418 65230 87764 94270 109705 126836 130460 158545 188540 219410 241351 317090 348799 438820 482702 508201 634180 697598 965404 1016402 1206755 1395196 1743995 2032804 2413510 2541005 3487990 4827020 5082010 5590211 6975980 10164020 11180422 18803437 22360844 27951055 37606874 55902110 75213748 94017185 111804220 188034370 206837807 376068740 413675614 827351228 1034189035 2068378070 4136756140