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4650003468 = 223211472291091
BaseRepresentation
bin1000101010010100…
…10110110000001100
3110000001210122120200
410111022112300030
534010400102333
62045225413500
7223142243265
oct42512266014
913001718520
104650003468
111a76895480
12a9933a290
135914a7156
143217d596c
151c336dc13
hex115296c0c

4650003468 has 144 divisors (see below), whose sum is σ = 13164802560. Its totient is φ = 1371830400.

The previous prime is 4650003439. The next prime is 4650003469. The reversal of 4650003468 is 8643000564.

It is a super-3 number, since 3×46500034683 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4650003469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4261603 + ... + 4262693.

It is an arithmetic number, because the mean of its divisors is an integer number (91422240).

Almost surely, 24650003468 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 4650003468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582401280).

4650003468 is an abundant number, since it is smaller than the sum of its proper divisors (8514799092).

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

4650003468 is a wasteful number, since it uses less digits than its factorization.

4650003468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4650003468 is about 68190.9339135343. The cubic root of 4650003468 is about 1669.1079496077.

The spelling of 4650003468 in words is "four billion, six hundred fifty million, three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 229 282 396 423 458 517 564 687 846 916 1034 1091 1374 1551 1692 2061 2068 2182 2519 2748 3102 3273 4122 4364 4653 5038 6204 6546 7557 8244 9306 9819 10076 10763 12001 13092 15114 18612 19638 21526 22671 24002 30228 32289 36003 39276 43052 45342 48004 51277 64578 72006 90684 96867 102554 108009 118393 129156 144012 153831 193734 205108 216018 236786 249839 307662 355179 387468 432036 461493 473572 499678 564047 615324 710358 749517 922986 999356 1065537 1128094 1420716 1499034 1692141 1845972 2131074 2248551 2256188 2748229 2998068 3384282 4262148 4497102 5076423 5496458 6768564 8244687 8994204 10152846 10992916 11742433 16489374 20305692 23484866 24734061 32978748 35227299 46969732 49468122 70454598 98936244 105681897 129166763 140909196 211363794 258333526 387500289 422727588 516667052 775000578 1162500867 1550001156 2325001734 4650003468