Search a number
-
+
472907087616 = 2834744929179
BaseRepresentation
bin1101110000110110111…
…01010111111100000000
31200012122201010011101010
412320123131113330000
530222003203300431
61001130040040520
746111035630525
oct6703335277400
91605581104333
10472907087616
111726167a4417
127779b763140
1335797138782
1418c62d1714c
15c47c348846
hex6e1b757f00

472907087616 has 144 divisors (see below), whose sum is σ = 1288308672000. Its totient is φ = 153932857344.

The previous prime is 472907087573. The next prime is 472907087617. The reversal of 472907087616 is 616780709274.

It is a super-2 number, since 2×4729070876162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472907087617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16192515 + ... + 16221693.

It is an arithmetic number, because the mean of its divisors is an integer number (8946588000).

Almost surely, 2472907087616 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 472907087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644154336000).

472907087616 is an abundant number, since it is smaller than the sum of its proper divisors (815401584384).

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

472907087616 is a wasteful number, since it uses less digits than its factorization.

472907087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29694 (or 29680 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 472907087616 in words is "four hundred seventy-two billion, nine hundred seven million, eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 449 564 752 768 898 1128 1347 1504 1796 2256 2694 3008 3592 4512 5388 6016 7184 9024 10776 12032 14368 18048 21103 21552 28736 29179 36096 42206 43104 57472 58358 63309 84412 86208 87537 114944 116716 126618 168824 172416 175074 233432 253236 337648 344832 350148 466864 506472 675296 700296 933728 1012944 1350592 1371413 1400592 1867456 2025888 2701184 2742826 2801184 3734912 4051776 4114239 5402368 5485652 5602368 7469824 8103552 8228478 10971304 11204736 13101371 16207104 16456956 21942608 22409472 26202742 32913912 39304113 43885216 52405484 65827824 78608226 87770432 104810968 131655648 157216452 175540864 209621936 263311296 314432904 351081728 419243872 526622592 615764437 628865808 838487744 1053245184 1231528874 1257731616 1676975488 1847293311 2463057748 2515463232 3353950976 3694586622 4926115496 5030926464 7389173244 9852230992 10061852928 14778346488 19704461984 29556692976 39408923968 59113385952 78817847936 118226771904 157635695872 236453543808 472907087616