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42757100610 = 2357331134039
BaseRepresentation
bin100111110100100001…
…011001010001000010
311002100211000202111220
4213310201121101002
51200031304204420
631350425015510
73042363234000
oct476441312102
9132324022456
1042757100610
11171512a5594
128353324596
13405533c343
1420d8825a70
1511a3a9a840
hex9f4859442

42757100610 has 128 divisors (see below), whose sum is σ = 123531264000. Its totient is φ = 9457721280.

The previous prime is 42757100593. The next prime is 42757100669. The reversal of 42757100610 is 1600175724.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251971 + ... + 386009.

It is an arithmetic number, because the mean of its divisors is an integer number (965088000).

Almost surely, 242757100610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42757100610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61765632000).

42757100610 is an abundant number, since it is smaller than the sum of its proper divisors (80774163390).

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

42757100610 is a wasteful number, since it uses less digits than its factorization.

42757100610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134101 (or 134087 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 42757100610 in words is "forty-two billion, seven hundred fifty-seven million, one hundred thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 343 434 465 490 651 686 735 930 1029 1085 1302 1470 1519 1715 2058 2170 3038 3255 3430 4557 5145 6510 7595 9114 10290 10633 15190 21266 22785 31899 45570 53165 63798 106330 134039 159495 268078 318990 402117 670195 804234 938273 1340390 1876546 2010585 2814819 4021170 4155209 4691365 5629638 6567911 8310418 9382730 12465627 13135822 14074095 19703733 20776045 24931254 28148190 29086463 32839555 39407466 41552090 45975377 58172926 62328135 65679110 87259389 91950754 98518665 124656270 137926131 145432315 174518778 197037330 203605241 229876885 275852262 290864630 407210482 436296945 459753770 610815723 689630655 872593890 1018026205 1221631446 1379261310 1425236687 2036052410 2850473374 3054078615 4275710061 6108157230 7126183435 8551420122 14252366870 21378550305 42757100610