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2413215006432 = 253192233027539
BaseRepresentation
bin100011000111011110110…
…100101011111011100000
322112200221002210002210120
4203013132310223323200
5304014231020201212
65044340552400240
7336230501051436
oct43073664537340
98480832702716
102413215006432
11850490a600aa
1232b8449a6080
13146746983c39
1484b2bb88d56
1542b8eb4888c
hex231ded2bee0

2413215006432 has 144 divisors (see below), whose sum is σ = 6976324091520. Its totient is φ = 728934269184.

The previous prime is 2413215006427. The next prime is 2413215006467. The reversal of 2413215006432 is 2346005123142.

It is a junction number, because it is equal to n+sod(n) for n = 2413215006393 and 2413215006402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716682 + ... + 2310857.

It is an arithmetic number, because the mean of its divisors is an integer number (48446695080).

Almost surely, 22413215006432 is an apocalyptic number.

It is an amenable number.

2413215006432 is an abundant number, since it is smaller than the sum of its proper divisors (4563109085088).

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

2413215006432 is a wasteful number, since it uses less digits than its factorization.

2413215006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027613 (or 3027586 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 2413215006432 in words is "two trillion, four hundred thirteen billion, two hundred fifteen million, six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 361 368 437 456 552 608 722 736 874 912 1083 1104 1311 1444 1748 1824 2166 2208 2622 2888 3496 4332 5244 5776 6992 8303 8664 10488 11552 13984 16606 17328 20976 24909 33212 34656 41952 49818 66424 99636 132848 199272 265696 398544 797088 3027539 6055078 9082617 12110156 18165234 24220312 36330468 48440624 57523241 69633397 72660936 96881248 115046482 139266794 145321872 172569723 208900191 230092964 278533588 290643744 345139446 417800382 460185928 557067176 690278892 835600764 920371856 1092941579 1114134352 1323034543 1380557784 1671201528 1840743712 2185883158 2228268704 2646069086 2761115568 3278824737 3342403056 3969103629 4371766316 5292138172 5522231136 6557649474 6684806112 7938207258 8743532632 10584276344 13115298948 15876414516 17487065264 21168552688 25137656317 26230597896 31752829032 34974130528 42337105376 50275312634 52461195792 63505658064 75412968951 100550625268 104922391584 127011316128 150825937902 201101250536 301651875804 402202501072 603303751608 804405002144 1206607503216 2413215006432