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2497112496 = 243331199937
BaseRepresentation
bin1001010011010110…
…1110100110110000
320110000202110101000
42110311232212300
520103230044441
61051441442000
7115611051234
oct22465564660
96400673330
102497112496
11107161163a
12598340300
1330a45b078
141998dc5c4
15e935a2b6
hex94d6e9b0

2497112496 has 160 divisors (see below), whose sum is σ = 7443968000. Its totient is φ = 800616960.

The previous prime is 2497112489. The next prime is 2497112537. The reversal of 2497112496 is 6942117942.

2497112496 is a `hidden beast` number, since 2 + 49 + 7 + 112 + 496 = 666.

2497112496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2664540 + ... + 2665476.

It is an arithmetic number, because the mean of its divisors is an integer number (46524800).

Almost surely, 22497112496 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 2497112496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721984000).

2497112496 is an abundant number, since it is smaller than the sum of its proper divisors (4946855504).

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

2497112496 is a wasteful number, since it uses less digits than its factorization.

2497112496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1172 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2497112496 is about 49971.1166175022. The cubic root of 2497112496 is about 1356.6860808804.

The spelling of 2497112496 in words is "two billion, four hundred ninety-seven million, one hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 199 216 248 279 372 398 432 496 558 597 744 796 837 937 1116 1194 1488 1592 1674 1791 1874 2232 2388 2811 3184 3348 3582 3748 4464 4776 5373 5622 6169 6696 7164 7496 8433 9552 10746 11244 12338 13392 14328 14992 16866 18507 21492 22488 24676 25299 28656 29047 33732 37014 42984 44976 49352 50598 55521 58094 67464 74028 85968 87141 98704 101196 111042 116188 134928 148056 166563 174282 186463 202392 222084 232376 261423 296112 333126 348564 372926 404784 444168 464752 522846 559389 666252 697128 745852 784269 888336 1045692 1118778 1332504 1394256 1491704 1568538 1678167 2091384 2237556 2665008 2983408 3137076 3356334 4182768 4475112 5034501 5780353 6274152 6712668 8950224 10069002 11560706 12548304 13425336 17341059 20138004 23121412 26850672 34682118 40276008 46242824 52023177 69364236 80552016 92485648 104046354 138728472 156069531 208092708 277456944 312139062 416185416 624278124 832370832 1248556248 2497112496