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4997719571364 = 2232132286612
BaseRepresentation
bin100100010111001111101…
…0011001011101110100100
3122200202222200002100102100
41020232133103023232210
51123340312202240424
614343530511012100
71024034102303142
oct110563723135644
918622880070370
104997719571364
1116575804537a3
1268871220a030
132a338a7b2400
14133c68970592
158a007418dc9
hex48b9f4cbba4

4997719571364 has 81 divisors (see below), whose sum is σ = 13680132801699. Its totient is φ = 1537706214720.

The previous prime is 4997719571329. The next prime is 4997719571389. The reversal of 4997719571364 is 4631759177994.

The square root of 4997719571364 is 2235558.

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

4997719571364 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 7 + 19 + 571 + 36 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 372673620900 + 4625045950464 = 610470^2 + 2150592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4997719571292 and 4997719571301.

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 26 ways as a sum of consecutive naturals, for example, 174359194 + ... + 174387854.

Almost surely, 24997719571364 is an apocalyptic number.

4997719571364 is the 2235558-th square number.

It is an amenable number.

4997719571364 is an abundant number, since it is smaller than the sum of its proper divisors (8682413230335).

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

4997719571364 is an equidigital number, since it uses as much as digits as its factorization.

4997719571364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57358 (or 28679 counting only the distinct ones).

The product of its digits is 360067680, while the sum is 72.

The spelling of 4997719571364 in words is "four trillion, nine hundred ninety-seven billion, seven hundred nineteen million, five hundred seventy-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 28661 57322 85983 114644 171966 257949 343932 372593 515898 745186 1031796 1117779 1490372 2235558 3353337 4471116 4843709 6706674 9687418 13413348 14531127 19374836 29062254 43593381 58124508 87186762 174373524 821452921 1642905842 2464358763 3285811684 4928717526 7393076289 9857435052 10678887973 14786152578 21357775946 29572305156 32036663919 42715551892 64073327838 96109991757 128146655676 138825543649 192219983514 277651087298 384439967028 416476630947 555302174596 832953261894 1249429892841 1665906523788 2498859785682 4997719571364