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193040947060 = 2251353101313829
BaseRepresentation
bin1011001111001000100…
…0110001011101110100
3200110021100121011111221
42303302020301131310
511130321440301220
6224403133240124
716642506655633
oct2636210613564
9613240534457
10193040947060
1174960644785
12314b5033044
1315285651b80
1494b3b8351a
15504c5479aa
hex2cf2231774

193040947060 has 96 divisors (see below), whose sum is σ = 445277982240. Its totient is φ = 69857728512.

The previous prime is 193040947037. The next prime is 193040947061. The reversal of 193040947060 is 60749040391.

193040947060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 154560632164 + 38480314896 = 393142^2 + 196164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 193040946998 and 193040947016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193040947061) by changing a digit.

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, 13952226 + ... + 13966054.

It is an arithmetic number, because the mean of its divisors is an integer number (4638312315).

Almost surely, 2193040947060 is an apocalyptic number.

193040947060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193040947060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222638991120).

193040947060 is an abundant number, since it is smaller than the sum of its proper divisors (252237035180).

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

193040947060 is a wasteful number, since it uses less digits than its factorization.

193040947060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 193040947060 in words is "one hundred ninety-three billion, forty million, nine hundred forty-seven thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1013 1060 1378 2026 2756 3445 4052 5065 6890 10130 13169 13780 13829 20260 26338 27658 52676 53689 55316 65845 69145 107378 131690 138290 179777 214756 263380 268445 276580 359554 536890 697957 719108 732937 898885 1073780 1395914 1465874 1797770 2791828 2931748 3489785 3595540 3664685 6979570 7329370 9528181 13959140 14008777 14658740 19056362 28017554 38112724 47640905 56035108 70043885 95281810 140087770 182114101 190563620 280175540 364228202 728456404 742465181 910570505 1484930362 1821141010 2969860724 3642282020 3712325905 7424651810 9652047353 14849303620 19304094706 38608189412 48260236765 96520473530 193040947060