Search a number
-
+
30496597208928 = 2532313457988093
BaseRepresentation
bin1101110111100100010101…
…10101111110111101100000
310222222110001021221202220200
412323302022311332331200
512444124012341141203
6144505535432505200
76265210052125104
oct673621265767540
9128873037852820
1030496597208928
119798597097224
12350654084b200
131402a805c7986
147760866b7904
1537d446d029a3
hex1bbc8ad7ef60

30496597208928 has 144 divisors (see below), whose sum is σ = 89548255794816. Its totient is φ = 9834756341760.

The previous prime is 30496597208923. The next prime is 30496597208947. The reversal of 30496597208928 is 82980279569403.

30496597208928 is a `hidden beast` number, since 3 + 0 + 4 + 9 + 6 + 597 + 2 + 0 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30496597208923) 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, 30370050 + ... + 31358142.

It is an arithmetic number, because the mean of its divisors is an integer number (621862887464).

Almost surely, 230496597208928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30496597208928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44774127897408).

30496597208928 is an abundant number, since it is smaller than the sum of its proper divisors (59051658585888).

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

30496597208928 is a wasteful number, since it uses less digits than its factorization.

30496597208928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991597 (or 991586 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 30496597208928 in words is "thirty trillion, four hundred ninety-six billion, five hundred ninety-seven million, two hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 3457 4464 6914 8928 10371 13828 20742 27656 31113 41484 55312 62226 82968 107167 110624 124452 165936 214334 248904 321501 331872 428668 497808 643002 857336 964503 988093 995616 1286004 1714672 1929006 1976186 2572008 2964279 3429344 3858012 3952372 5144016 5928558 7716024 7904744 8892837 10288032 11857116 15432048 15809488 17785674 23714232 30630883 30864096 31618976 35571348 47428464 61261766 71142696 91892649 94856928 122523532 142285392 183785298 245047064 275677947 284570784 367570596 490094128 551355894 735141192 980188256 1102711788 1470282384 2205423576 2940564768 3415837501 4410847152 6831675002 8821694304 10247512503 13663350004 20495025006 27326700008 30742537509 40990050012 54653400016 61485075018 81980100024 105890962531 109306800032 122970150036 163960200048 211781925062 245940300072 317672887593 327920400096 423563850124 491880600144 635345775186 847127700248 953018662779 983761200288 1270691550372 1694255400496 1906037325558 2541383100744 3388510800992 3812074651116 5082766201488 7624149302232 10165532402976 15248298604464 30496597208928