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4645770096 = 2431189109907
BaseRepresentation
bin1000101001110100…
…01101001101110000
3102222202211120111010
410110322031031300
534003304120341
62044554550520
7223061252142
oct42472151560
912882746433
104645770096
111a74463920
12a97a38440
135906542b6
14321012c92
151c2cd4716
hex114e8d370

4645770096 has 160 divisors (see below), whose sum is σ = 13375929600. Its totient is φ = 1377699840.

The previous prime is 4645770083. The next prime is 4645770113. The reversal of 4645770096 is 6900775464.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5121675 + ... + 5122581.

It is an arithmetic number, because the mean of its divisors is an integer number (83599560).

Almost surely, 24645770096 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 4645770096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687964800).

4645770096 is an abundant number, since it is smaller than the sum of its proper divisors (8730159504).

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

4645770096 is a wasteful number, since it uses less digits than its factorization.

4645770096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 4645770096 is about 68159.8862675107. The cubic root of 4645770096 is about 1668.6012761340.

The spelling of 4645770096 in words is "four billion, six hundred forty-five million, seven hundred seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 109 132 176 178 218 264 267 327 356 436 528 534 654 712 872 907 979 1068 1199 1308 1424 1744 1814 1958 2136 2398 2616 2721 2937 3597 3628 3916 4272 4796 5232 5442 5874 7194 7256 7832 9592 9701 9977 10884 11748 14388 14512 15664 19184 19402 19954 21768 23496 28776 29103 29931 38804 39908 43536 46992 57552 58206 59862 77608 79816 80723 98863 106711 116412 119724 155216 159632 161446 197726 213422 232824 239448 242169 296589 320133 322892 395452 426844 465648 478896 484338 593178 640266 645784 790904 853688 887953 968676 1087493 1186356 1280532 1291568 1581808 1707376 1775906 1937352 2174986 2372712 2561064 2663859 3262479 3551812 3874704 4349972 4745424 5122128 5327718 6524958 7103624 8699944 8798807 10655436 13049916 14207248 17399888 17597614 21310872 26099832 26396421 35195228 42621744 52199664 52792842 70390456 96786877 105585684 140780912 193573754 211171368 290360631 387147508 422342736 580721262 774295016 1161442524 1548590032 2322885048 4645770096