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2465425434624 = 21131747229693
BaseRepresentation
bin100011111000000110110…
…011101010100000000000
322201200200201220122212020
4203320012303222200000
5310343142402401444
65124333435201440
7343056353265315
oct43700663524000
98650621818766
102465425434624
11870643425609
12339995ba6280
1314b647666a29
1487481cacd0c
15441e85ba119
hex23e06cea800

2465425434624 has 96 divisors (see below), whose sum is σ = 6576653734560. Its totient is φ = 821334491136.

The previous prime is 2465425434587. The next prime is 2465425434671. The reversal of 2465425434624 is 4264345245642.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10618722 + ... + 10848414.

It is an arithmetic number, because the mean of its divisors is an integer number (68506809735).

Almost surely, 22465425434624 is an apocalyptic number.

2465425434624 is a gapful number since it is divisible by the number (24) 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 2465425434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288326867280).

2465425434624 is an abundant number, since it is smaller than the sum of its proper divisors (4111228299936).

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

2465425434624 is a wasteful number, since it uses less digits than its factorization.

2465425434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231465 (or 231445 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 51.

The spelling of 2465425434624 in words is "two trillion, four hundred sixty-five billion, four hundred twenty-five million, four hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1747 2048 3072 3494 5241 6144 6988 10482 13976 20964 27952 41928 55904 83856 111808 167712 223616 229693 335424 447232 459386 670848 689079 894464 918772 1341696 1378158 1788928 1837544 2683392 2756316 3577856 3675088 5366784 5512632 7350176 10733568 11025264 14700352 22050528 29400704 44101056 58801408 88202112 117602816 176404224 235205632 352808448 401273671 470411264 705616896 802547342 1203821013 1411233792 1605094684 2407642026 3210189368 4815284052 6420378736 9630568104 12840757472 19261136208 25681514944 38522272416 51363029888 77044544832 102726059776 154089089664 205452119552 308178179328 410904239104 616356358656 821808478208 1232712717312 2465425434624