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4429790315392 = 271326310519631
BaseRepresentation
bin100000001110110010000…
…0101000000001110000000
3120200111001200222220002111
41000131210011000032000
51040034202310043032
613231003444025104
7635020222261441
oct100354405001600
916614050886074
104429790315392
11145873316a932
125b6633992194
1326195c233720
1411458db672c8
157a367dadc47
hex40764140380

4429790315392 has 128 divisors (see below), whose sum is σ = 9550021662720. Its totient is φ = 2034595584000.

The previous prime is 4429790315381. The next prime is 4429790315417. The reversal of 4429790315392 is 2935130979244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×44297903153922 (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 15 ways as a sum of consecutive naturals, for example, 459946417 + ... + 459956047.

It is an arithmetic number, because the mean of its divisors is an integer number (74609544240).

Almost surely, 24429790315392 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 4429790315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775010831360).

4429790315392 is an abundant number, since it is smaller than the sum of its proper divisors (5120231347328).

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

4429790315392 is a wasteful number, since it uses less digits than its factorization.

4429790315392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 4429790315392 in words is "four trillion, four hundred twenty-nine billion, seven hundred ninety million, three hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 263 416 526 832 1051 1052 1664 2102 2104 3419 4204 4208 6838 8408 8416 9631 13663 13676 16816 16832 19262 27326 27352 33632 33664 38524 54652 54704 67264 77048 109304 109408 125203 134528 154096 218608 218816 250406 276413 308192 437216 437632 500812 552826 616384 874432 1001624 1105652 1232768 1748864 2003248 2211304 2532953 3593369 4006496 4422608 5065906 7186738 8012992 8845216 10122181 10131812 14373476 16025984 17690432 20244362 20263624 28746952 32928389 35380864 40488724 40527248 57493904 65856778 80977448 81054496 114987808 131588353 131713556 161954896 162108992 229975616 263176706 263427112 323909792 324217984 459951232 526353412 526854224 647819584 1052706824 1053708448 1295639168 2105413648 2107416896 2662133603 4210827296 4214833792 5324267206 8421654592 10648534412 16843309184 21297068824 34607736839 42594137648 69215473678 85188275296 138430947356 170376550592 276861894712 340753101184 553723789424 1107447578848 2214895157696 4429790315392