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4965085350 = 235521672447
BaseRepresentation
bin1001001111111000…
…10011000010100110
3110211000200110200000
410213330103002212
540132030212400
62140403002130
7234016346331
oct44774230246
913730613600
104965085350
112118730125
12b66969346
13611855934
143515b3618
151e0d5b600
hex127f130a6

4965085350 has 144 divisors (see below), whose sum is σ = 13922108928. Its totient is φ = 1315556640.

The previous prime is 4965085327. The next prime is 4965085373. The reversal of 4965085350 is 535805694.

4965085350 is a `hidden beast` number, since 4 + 96 + 508 + 5 + 3 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (4965085327) and next prime (4965085373).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4965085296 and 4965085305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2027827 + ... + 2030273.

It is an arithmetic number, because the mean of its divisors is an integer number (96681312).

Almost surely, 24965085350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4965085350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961054464).

4965085350 is an abundant number, since it is smaller than the sum of its proper divisors (8957023578).

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

4965085350 is a wasteful number, since it uses less digits than its factorization.

4965085350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 4965085350 is about 70463.3617563057. The cubic root of 4965085350 is about 1705.9864319364.

The spelling of 4965085350 in words is "four billion, nine hundred sixty-five million, eighty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 167 225 243 270 334 405 450 486 501 675 810 835 1002 1215 1350 1503 1670 2025 2430 2447 2505 3006 4050 4175 4509 4894 5010 6075 7341 7515 8350 9018 12150 12235 12525 13527 14682 15030 22023 22545 24470 25050 27054 36705 37575 40581 44046 45090 61175 66069 67635 73410 75150 81162 110115 112725 122350 132138 135270 183525 198207 202905 220230 225450 330345 338175 367050 396414 405810 408649 550575 594621 660690 676350 817298 991035 1014525 1101150 1189242 1225947 1651725 1982070 2029050 2043245 2451894 2973105 3303450 3677841 4086490 4955175 5946210 6129735 7355682 9910350 10216225 11033523 12259470 14865525 18389205 20432450 22067046 29731050 30648675 33100569 36778410 55167615 61297350 66201138 91946025 99301707 110335230 165502845 183892050 198603414 275838075 331005690 496508535 551676150 827514225 993017070 1655028450 2482542675 4965085350