Search a number
-
+
5202075172760 = 2355989197312553
BaseRepresentation
bin100101110110011001111…
…0101111011111110011000
3200102022110120012111202222
41023230303311323332120
51140212322221012020
615021444512443212
71044560162250404
oct113546365737630
920368416174688
105202075172760
1117262078a9774
12700244549508
132b97272ba8cb
1413dad32d0104
15904b7e56b25
hex4bb33d7bf98

5202075172760 has 128 divisors (see below), whose sum is σ = 12043855656000. Its totient is φ = 2021391753216.

The previous prime is 5202075172747. The next prime is 5202075172781. The reversal of 5202075172760 is 672715702025.

It is a super-2 number, since 2×52020751727602 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 414402644 + ... + 414415196.

Almost surely, 25202075172760 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 5202075172760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021927828000).

5202075172760 is an abundant number, since it is smaller than the sum of its proper divisors (6841780483240).

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

5202075172760 is a wasteful number, since it uses less digits than its factorization.

5202075172760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14685 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 5202075172760 in words is "five trillion, two hundred two billion, seventy-five million, one hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 89 118 178 236 295 356 445 472 590 712 890 1180 1780 1973 2360 3560 3946 5251 7892 9865 10502 12553 15784 19730 21004 25106 26255 39460 42008 50212 52510 62765 78920 100424 105020 116407 125530 175597 210040 232814 251060 351194 465628 502120 582035 702388 740627 877985 931256 1117217 1164070 1404776 1481254 1755970 2234434 2328140 2962508 3511940 3703135 4468868 4656280 5586085 5925016 7023880 7406270 8937736 10360223 11172170 14812540 20720446 22344340 24767069 29625080 41440892 44688680 49534138 51801115 65915803 82881784 99068276 103602230 123835345 131831606 198136552 207204460 247670690 263663212 329579015 414408920 495341380 527326424 659158030 990682760 1318316060 1461257071 2204269141 2636632120 2922514142 4408538282 5845028284 7306285355 8817076564 11021345705 11690056568 14612570710 17634153128 22042691410 29225141420 44085382820 58450282840 88170765640 130051879319 260103758638 520207517276 650259396595 1040415034552 1300518793190 2601037586380 5202075172760