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4629457654640 = 245713248916501
BaseRepresentation
bin100001101011110000100…
…1011011101001101110000
3121101120102212022122211022
41003113201023131031300
51101322112124422030
613502424332035012
7655316163536150
oct103274113351560
917346385278738
104629457654640
11152538417a095
12629278002a68
1327772c65aa00
141200d19b2760
1580652021de5
hex435e12dd370

4629457654640 has 120 divisors (see below), whose sum is σ = 13320159160608. Its totient is φ = 1465147008000.

The previous prime is 4629457654637. The next prime is 4629457654649. The reversal of 4629457654640 is 464567549264.

It is a happy number.

It is a super-2 number, since 2×46294576546402 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629457654649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24363611 + ... + 24552890.

Almost surely, 24629457654640 is an apocalyptic number.

4629457654640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4629457654640 is an abundant number, since it is smaller than the sum of its proper divisors (8690701505968).

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

4629457654640 is a wasteful number, since it uses less digits than its factorization.

4629457654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48916547 (or 48916528 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 62.

The spelling of 4629457654640 in words is "four trillion, six hundred twenty-nine billion, four hundred fifty-seven million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 676 728 845 910 1040 1183 1352 1456 1690 1820 2366 2704 3380 3640 4732 5915 6760 7280 9464 11830 13520 18928 23660 47320 94640 48916501 97833002 195666004 244582505 342415507 391332008 489165010 635914513 684831014 782664016 978330020 1271829026 1369662028 1712077535 1956660040 2543658052 2739324056 3179572565 3424155070 3913320080 4451401591 5087316104 5478648112 6359145130 6848310140 8266888669 8902803182 10174632208 12718290260 13696620280 16533777338 17805606364 22257007955 25436580520 27393240560 33067554676 35611212728 41334443345 44514015910 50873161040 57868220683 66135109352 71222425456 82668886690 89028031820 115736441366 132270218704 165337773380 178056063640 231472882732 289341103415 330675546760 356112127280 462945765464 578682206830 661351093520 925891530928 1157364413660 2314728827320 4629457654640