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2426400703272 = 2337132938309977
BaseRepresentation
bin100011010011110000110…
…000001000001100101000
322120221222000222220102210
4203103300300020030220
5304223232040001042
65054401215525120
7340205320452330
oct43236060101450
98527860886383
102426400703272
11856037a39317
123323048297a0
13147a68672810
148561d0520c0
15431b252ba9c
hex234f0c08328

2426400703272 has 128 divisors (see below), whose sum is σ = 7723291564800. Its totient is φ = 617863292928.

The previous prime is 2426400703267. The next prime is 2426400703277. The reversal of 2426400703272 is 2723070046242.

It is an interprime number because it is at equal distance from previous prime (2426400703267) and next prime (2426400703277).

It is a super-3 number, since 3×24264007032723 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2426400703272.

It is not an unprimeable number, because it can be changed into a prime (2426400703277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19091653 + ... + 19218324.

It is an arithmetic number, because the mean of its divisors is an integer number (60338215350).

Almost surely, 22426400703272 is an apocalyptic number.

It is an amenable number.

2426400703272 is an abundant number, since it is smaller than the sum of its proper divisors (5296890861528).

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

2426400703272 is a wasteful number, since it uses less digits than its factorization.

2426400703272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38310035 (or 38310031 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 2426400703272 in words is "two trillion, four hundred twenty-six billion, four hundred million, seven hundred three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 42 52 56 58 78 84 87 91 104 116 156 168 174 182 203 232 273 312 348 364 377 406 546 609 696 728 754 812 1092 1131 1218 1508 1624 2184 2262 2436 2639 3016 4524 4872 5278 7917 9048 10556 15834 21112 31668 63336 38309977 76619954 114929931 153239908 229859862 268169839 306479816 459719724 498029701 536339678 804509517 919439448 996059402 1072679356 1110989333 1494089103 1609019034 1992118804 2145358712 2221978666 2988178206 3218038068 3332967999 3486207907 3984237608 4443957332 5976356412 6436076136 6665935998 6972415814 7776925331 8887914664 10458623721 11952712824 13331871996 13944831628 14442861329 15553850662 20917247442 23330775993 26663743992 27889663256 28885722658 31107701324 41834494884 43328583987 46661551986 57771445316 62215402648 83668989768 86657167974 93323103972 101100029303 115542890632 173314335948 186646207944 202200058606 303300087909 346628671896 404400117212 606600175818 808800234424 1213200351636 2426400703272