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4950411390 = 2345173111597
BaseRepresentation
bin1001001110001000…
…10100100001111110
3110210000001221210000
410213010110201332
540114301131030
62135120255130
7233450542161
oct44704244176
913700057700
104950411390
112110418391
12b61a714a6
1360b7b8812
1434d673ad8
151de90d860
hex12711487e

4950411390 has 160 divisors (see below), whose sum is σ = 14550015744. Its totient is φ = 1202273280.

The previous prime is 4950411383. The next prime is 4950411397. The reversal of 4950411390 is 931140594.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4950411383) and next prime (4950411397).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950411397) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 421072 + ... + 432668.

Almost surely, 24950411390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4950411390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275007872).

4950411390 is an abundant number, since it is smaller than the sum of its proper divisors (9599604354).

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

4950411390 is a wasteful number, since it uses less digits than its factorization.

4950411390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4950411390 is about 70359.1599580325. The cubic root of 4950411390 is about 1704.3041326320.

The spelling of 4950411390 in words is "four billion, nine hundred fifty million, four hundred eleven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 81 85 90 93 102 135 153 155 162 170 186 255 270 279 306 310 405 459 465 510 527 558 765 810 837 918 930 1054 1377 1395 1530 1581 1674 2295 2511 2635 2754 2790 3162 4185 4590 4743 5022 5270 6885 7905 8370 9486 11597 12555 13770 14229 15810 23194 23715 25110 28458 34791 42687 47430 57985 69582 71145 85374 104373 115970 142290 173955 197149 208746 213435 313119 347910 359507 394298 426870 521865 591447 626238 719014 939357 985745 1043730 1078521 1182894 1565595 1774341 1797535 1878714 1971490 2157042 2957235 3131190 3235563 3548682 3595070 4696785 5323023 5392605 5914470 6111619 6471126 8871705 9393570 9706689 10646046 10785210 12223238 15969069 16177815 17743410 18334857 19413378 26615115 29120067 30558095 31938138 32355630 36669714 48533445 53230230 55004571 58240134 61116190 79845345 91674285 97066890 110009142 145600335 159690690 165013713 183348570 275022855 291200670 330027426 495041139 550045710 825068565 990082278 1650137130 2475205695 4950411390