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2948452548492 = 22311313719474073
BaseRepresentation
bin101010111001111101011…
…101110111111110001100
3101102212110201122102102110
4222321331131313332030
5341301412323022432
610134300030424020
7423006255101643
oct52717535677614
911385421572373
102948452548492
11a37482663490
123b751a962010
131850652c57c9
14a29c4c7035a
1551a690cedcc
hex2ae7d777f8c

2948452548492 has 96 divisors (see below), whose sum is σ = 7956639258624. Its totient is φ = 841279910400.

The previous prime is 2948452548491. The next prime is 2948452548527.

2948452548492 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×29484525484922 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2948452548491) 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, 9585633 + ... + 9888440.

It is an arithmetic number, because the mean of its divisors is an integer number (82881658944).

Almost surely, 22948452548492 is an apocalyptic number.

2948452548492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2948452548492 is an abundant number, since it is smaller than the sum of its proper divisors (5008186710132).

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

2948452548492 is a wasteful number, since it uses less digits than its factorization.

2948452548492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19474159 (or 19474157 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 66.

The spelling of 2948452548492 in words is "two trillion, nine hundred forty-eight billion, four hundred fifty-two million, five hundred forty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 93 111 124 132 148 186 222 341 372 407 444 682 814 1023 1147 1221 1364 1628 2046 2294 2442 3441 4092 4588 4884 6882 12617 13764 25234 37851 50468 75702 151404 19474073 38948146 58422219 77896292 116844438 214214803 233688876 428429606 603696263 642644409 720540701 856859212 1207392526 1285288818 1441081402 1811088789 2161622103 2414785052 2570577636 2882162804 3622177578 4323244206 6640658893 7244355156 7925947711 8646488412 13281317786 15851895422 19921976679 22336761731 23777843133 26562635572 31703790844 39843953358 44673523462 47555686266 67010285193 79687906716 89347046924 95111372532 134020570386 245704379041 268041140772 491408758082 737113137123 982817516164 1474226274246 2948452548492