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204501135740 = 2251113722929629
BaseRepresentation
bin1011111001110100110…
…1111011000101111100
3201112212000222001221112
42332131031323011330
511322304242320430
6233540241021152
720526504654506
oct2763515730574
9645760861845
10204501135740
11798016180a0
12337730247b8
1316390a028c5
149c7dc04d76
1554bd6d9195
hex2f9d37b17c

204501135740 has 96 divisors (see below), whose sum is σ = 473989924800. Its totient is φ = 73496401920.

The previous prime is 204501135737. The next prime is 204501135743. The reversal of 204501135740 is 47531105402.

It is an interprime number because it is at equal distance from previous prime (204501135737) and next prime (204501135743).

It is a junction number, because it is equal to n+sod(n) for n = 204501135697 and 204501135706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204501135743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6887246 + ... + 6916874.

It is an arithmetic number, because the mean of its divisors is an integer number (4937395050).

Almost surely, 2204501135740 is an apocalyptic number.

204501135740 is a gapful number since it is divisible by the number (20) 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 204501135740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236994962400).

204501135740 is an abundant number, since it is smaller than the sum of its proper divisors (269488789060).

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

204501135740 is a wasteful number, since it uses less digits than its factorization.

204501135740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30015 (or 30013 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 204501135740 in words is "two hundred four billion, five hundred one million, one hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 229 274 458 548 685 916 1145 1370 1507 2290 2519 2740 3014 4580 5038 6028 7535 10076 12595 15070 25190 29629 30140 31373 50380 59258 62746 118516 125492 148145 156865 296290 313730 325919 345103 592580 627460 651838 690206 1303676 1380412 1629595 1725515 3259190 3451030 4059173 6518380 6785041 6902060 8118346 13570082 16236692 20295865 27140164 33925205 40591730 44650903 67850410 74635451 81183460 89301806 135700820 149270902 178603612 223254515 298541804 373177255 446509030 746354510 893018060 929550617 1492709020 1859101234 3718202468 4647753085 9295506170 10225056787 18591012340 20450113574 40900227148 51125283935 102250567870 204501135740