Search a number
-
+
23115046611720 = 2335768683400651
BaseRepresentation
bin1010100000101111001000…
…01001000110101100001000
310000211202222100020012022010
411100113210021012230020
511012204103413033340
6121054523353455520
74604002255240110
oct520274411065410
9100752870205263
1023115046611720
117402044227a08
122713a264115a0
13cb897ca0c4cb
1459caba690040
152a141e784b80
hex1505e4246b08

23115046611720 has 128 divisors (see below), whose sum is σ = 79252940067840. Its totient is φ = 5283349113600.

The previous prime is 23115046611697. The next prime is 23115046611733. The reversal of 23115046611720 is 2711664051132.

It is a Cunningham number, because it is equal to 48078112-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57493395 + ... + 57894045.

It is an arithmetic number, because the mean of its divisors is an integer number (619163594280).

Almost surely, 223115046611720 is an apocalyptic number.

23115046611720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23115046611720 is an abundant number, since it is smaller than the sum of its proper divisors (56137893456120).

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

23115046611720 is a wasteful number, since it uses less digits than its factorization.

23115046611720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469355 (or 469351 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 23115046611720 in words is "twenty-three trillion, one hundred fifteen billion, forty-six million, six hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 68683 137366 206049 274732 343415 400651 412098 480781 549464 686830 801302 824196 961562 1030245 1201953 1373660 1442343 1602604 1648392 1923124 2003255 2060490 2403905 2403906 2747320 2804557 2884686 3205208 3846248 4006510 4120980 4807810 4807812 5609114 5769372 6009765 7211715 8013020 8241960 8413671 9615620 9615624 11218228 11538744 12019530 14022785 14423430 16026040 16827342 19231240 22436456 24039060 28045570 28846860 33654684 42068355 48078120 56091140 57693720 67309368 84136710 112182280 168273420 336546840 27517912633 55035825266 82553737899 110071650532 137589563165 165107475798 192625388431 220143301064 275179126330 330214951596 385250776862 412768689495 550358252660 577876165293 660429903192 770501553724 825537378990 963126942155 1100716505320 1155752330586 1541003107448 1651074757980 1926253884310 2311504661172 2889380826465 3302149515960 3852507768620 4623009322344 5778761652930 7705015537240 11557523305860 23115046611720