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2996663472 = 2433111374603
BaseRepresentation
bin1011001010011101…
…0111010010110000
321201211202021111000
42302213113102300
522114121212342
61213204522000
7134155135125
oct26247272260
97654667430
102996663472
1112a85a1690
126b76b0300
13389ab696a
14205db874c
1512813544c
hexb29d74b0

2996663472 has 160 divisors (see below), whose sum is σ = 9454037760. Its totient is φ = 901255680.

The previous prime is 2996663447. The next prime is 2996663479. The reversal of 2996663472 is 2743666992.

2996663472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2996663479) 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, 648723 + ... + 653325.

It is an arithmetic number, because the mean of its divisors is an integer number (59087736).

Almost surely, 22996663472 is an apocalyptic number.

2996663472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996663472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727018880).

2996663472 is an abundant number, since it is smaller than the sum of its proper divisors (6457374288).

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

2996663472 is a wasteful number, since it uses less digits than its factorization.

2996663472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4756 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 2996663472 is about 54741.7890829301. The cubic root of 2996663472 is about 1441.7146935133.

The spelling of 2996663472 in words is "two billion, nine hundred ninety-six million, six hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 137 144 176 198 216 264 274 297 396 411 432 528 548 594 792 822 1096 1188 1233 1507 1584 1644 2192 2376 2466 3014 3288 3699 4521 4603 4752 4932 6028 6576 7398 9042 9206 9864 12056 13563 13809 14796 18084 18412 19728 24112 27126 27618 29592 36168 36824 40689 41427 50633 54252 55236 59184 72336 73648 81378 82854 101266 108504 110472 124281 151899 162756 165708 202532 217008 220944 248562 303798 325512 331416 405064 455697 497124 607596 630611 651024 662832 810128 911394 994248 1215192 1261222 1367091 1822788 1891833 1988496 2430384 2522444 2734182 3645576 3783666 5044888 5468364 5675499 6936721 7291152 7567332 10089776 10936728 11350998 13873442 15134664 17026497 20810163 21873456 22701996 27746884 30269328 34052994 41620326 45403992 55493768 62430489 68105988 83240652 90807984 110987536 124860978 136211976 166481304 187291467 249721956 272423952 332962608 374582934 499443912 749165868 998887824 1498331736 2996663472