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7454490648 = 23311471993019
BaseRepresentation
bin1101111000101001…
…01000000000011000
3201020111221100202020
412330110220000120
5110231322200043
63231411334440
7352505060613
oct67424500030
921214840666
107454490648
113185958180
1215405b1420
1391a515917
1450a06717a
152d9692e83
hex1bc528018

7454490648 has 128 divisors (see below), whose sum is σ = 20874240000. Its totient is φ = 2199035520.

The previous prime is 7454490613. The next prime is 7454490649. The reversal of 7454490648 is 8460944547.

It is a happy number.

It is a super-3 number, since 3×74544906483 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7454490648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7454490649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2467683 + ... + 2470701.

It is an arithmetic number, because the mean of its divisors is an integer number (163080000).

Almost surely, 27454490648 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 7454490648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437120000).

7454490648 is an abundant number, since it is smaller than the sum of its proper divisors (13419749352).

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

7454490648 is a wasteful number, since it uses less digits than its factorization.

7454490648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The square root of 7454490648 is about 86339.3922146780. The cubic root of 7454490648 is about 1953.4666057254.

The spelling of 7454490648 in words is "seven billion, four hundred fifty-four million, four hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 199 264 282 376 398 517 564 597 796 1034 1128 1194 1551 1592 2068 2189 2388 3019 3102 4136 4378 4776 6038 6204 6567 8756 9057 9353 12076 12408 13134 17512 18114 18706 24152 26268 28059 33209 36228 37412 52536 56118 66418 72456 74824 99627 102883 112236 132836 141893 199254 205766 224472 265672 283786 308649 398508 411532 425679 567572 600781 617298 797016 823064 851358 1135144 1201562 1234596 1560823 1702716 1802343 2403124 2469192 3121646 3405432 3604686 4682469 4806248 6243292 6608591 7209372 9364938 12486584 13217182 14418744 18729876 19825773 26434364 28236707 37459752 39651546 52868728 56473414 79303092 84710121 112946828 158606184 169420242 225893656 310603777 338840484 621207554 677680968 931811331 1242415108 1863622662 2484830216 3727245324 7454490648