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4839190433856 = 2634305532
BaseRepresentation
bin100011001101011011000…
…1110100001000001000000
3122010121210111112202110000
41012122312032201001000
51113241130222340411
614143032101240000
71006422436000602
oct106326616410100
918117714482400
104839190433856
1115a631a92a379
12661a4b103000
132914451a552c
1412a30a537172
1585d29b6c956
hex466b63a1040

4839190433856 has 105 divisors (see below), whose sum is σ = 14345345950221. Its totient is φ = 1613010682368.

The previous prime is 4839190433843. The next prime is 4839190433881. The reversal of 4839190433856 is 6583340919384.

The square root of 4839190433856 is 2199816.

It is a perfect power (a square), and thus also a powerful number.

4839190433856 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 190 + 433 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 910803009600 + 3928387424256 = 954360^2 + 1982016^2 .

It is a super-2 number, since 2×48391904338562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4839190433793 and 4839190433802.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 158371476 + ... + 158402028.

Almost surely, 24839190433856 is an apocalyptic number.

4839190433856 is the 2199816-th square number.

It is an amenable number.

4839190433856 is an abundant number, since it is smaller than the sum of its proper divisors (9506155516365).

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

4839190433856 is an frugal number, since it uses more digits than its factorization.

4839190433856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61130 (or 30558 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 4839190433856 in words is "four trillion, eight hundred thirty-nine billion, one hundred ninety million, four hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 30553 61106 91659 122212 183318 244424 274977 366636 488848 549954 733272 824931 977696 1099908 1466544 1649862 1955392 2199816 2474793 2933088 3299724 4399632 4949586 5866176 6599448 8799264 9899172 13198896 17598528 19798344 26397792 39596688 52795584 79193376 158386752 933485809 1866971618 2800457427 3733943236 5600914854 7467886472 8401372281 11201829708 14935772944 16802744562 22403659416 25204116843 29871545888 33605489124 44807318832 50408233686 59743091776 67210978248 75612350529 89614637664 100816467372 134421956496 151224701058 179229275328 201632934744 268843912992 302449402116 403265869488 537687825984 604898804232 806531738976 1209797608464 1613063477952 2419595216928 4839190433856