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7344970164 = 223477145613
BaseRepresentation
bin1101101011100101…
…10101100110110100
3200221212212010220000
412311302311212310
5110020303021124
63212500111300
7350005134120
oct66562654664
920855763800
107344970164
11312a053884
12150b995530
1390091a8bc
144d96b8580
152cec5c6c9
hex1b5cb59b4

7344970164 has 120 divisors (see below), whose sum is σ = 22253793408. Its totient is φ = 2068960320.

The previous prime is 7344970147. The next prime is 7344970183. The reversal of 7344970164 is 4610794437.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138222 + ... + 183834.

Almost surely, 27344970164 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 7344970164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126896704).

7344970164 is an abundant number, since it is smaller than the sum of its proper divisors (14908823244).

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

7344970164 is a wasteful number, since it uses less digits than its factorization.

7344970164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45707 (or 45696 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7344970164 is about 85702.8013777846. The cubic root of 7344970164 is about 1943.8526694472.

The spelling of 7344970164 in words is "seven billion, three hundred forty-four million, nine hundred seventy thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 81 84 108 126 142 162 189 213 252 284 324 378 426 497 567 639 756 852 994 1134 1278 1491 1917 1988 2268 2556 2982 3834 4473 5751 5964 7668 8946 11502 13419 17892 23004 26838 40257 45613 53676 80514 91226 136839 161028 182452 273678 319291 410517 547356 638582 821034 957873 1231551 1277164 1642068 1915746 2463102 2873619 3238523 3694653 3831492 4926204 5747238 6477046 7389306 8620857 9715569 11494476 12954092 14778612 17241714 19431138 22669661 25862571 29146707 34483428 38862276 45339322 51725142 58293414 68008983 87440121 90678644 103450284 116586828 136017966 174880242 204026949 262320363 272035932 349760484 408053898 524640726 612080847 816107796 1049281452 1224161694 1836242541 2448323388 3672485082 7344970164