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245399272416 = 25323779291509
BaseRepresentation
bin1110010010001011101…
…1111011101111100000
3212110102022000200100100
43210202323323233200
513010034203204131
6304422422022400
723505136253544
oct3444273735740
9773368020310
10245399272416
1195089545551
123b687877a00
131a1aab7868c
14bc3d7a5a24
1565b3e807e6
hex3922efbbe0

245399272416 has 144 divisors (see below), whose sum is σ = 725789937600. Its totient is φ = 78581228544.

The previous prime is 245399272399. The next prime is 245399272421. The reversal of 245399272416 is 614272993542.

It is a happy number.

245399272416 is a `hidden beast` number, since 2 + 4 + 5 + 399 + 2 + 7 + 241 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696070 + ... + 987578.

It is an arithmetic number, because the mean of its divisors is an integer number (5040207900).

Almost surely, 2245399272416 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 245399272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362894968800).

245399272416 is an abundant number, since it is smaller than the sum of its proper divisors (480390665184).

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

245399272416 is a wasteful number, since it uses less digits than its factorization.

245399272416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291641 (or 291630 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 245399272416 in words is "two hundred forty-five billion, three hundred ninety-nine million, two hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 79 96 111 144 148 158 222 237 288 296 316 333 444 474 592 632 666 711 888 948 1184 1264 1332 1422 1776 1896 2528 2664 2844 2923 3552 3792 5328 5688 5846 7584 8769 10656 11376 11692 17538 22752 23384 26307 35076 46768 52614 70152 93536 105228 140304 210456 280608 291509 420912 583018 841824 874527 1166036 1749054 2332072 2623581 3498108 4664144 5247162 6996216 9328288 10494324 10785833 13992432 20988648 21571666 23029211 27984864 32357499 41977296 43143332 46058422 64714998 69087633 83954592 86286664 92116844 97072497 129429996 138175266 172573328 184233688 194144994 207262899 258859992 276350532 345146656 368467376 388289988 414525798 517719984 552701064 736934752 776579976 829051596 852080807 1035439968 1105402128 1553159952 1658103192 1704161614 2210804256 2556242421 3106319904 3316206384 3408323228 5112484842 6632412768 6816646456 7668727263 10224969684 13633292912 15337454526 20449939368 27266585824 30674909052 40899878736 61349818104 81799757472 122699636208 245399272416