Search a number
-
+
4765650270464 = 28193251571673
BaseRepresentation
bin100010101011001011011…
…1001000011100100000000
3121212120222100202101100202
41011112112321003210000
51111040022432123324
614045150504304332
71001210153633066
oct105262671034400
917776870671322
104765650270464
111578112379136
1264b7467720a8
1328752549b555
141269316aa036
1583e738698ae
hex45596e43900

4765650270464 has 144 divisors (see below), whose sum is σ = 9631171053504. Its totient is φ = 2353397760000.

The previous prime is 4765650270449. The next prime is 4765650270529. The reversal of 4765650270464 is 4640720565674.

It is a super-2 number, since 2×47656502704642 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7081203632 + ... + 7081204304.

It is an arithmetic number, because the mean of its divisors is an integer number (66883132316).

Almost surely, 24765650270464 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 4765650270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815585526752).

4765650270464 is an abundant number, since it is smaller than the sum of its proper divisors (4865520783040).

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

4765650270464 is a wasteful number, since it uses less digits than its factorization.

4765650270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 56.

The spelling of 4765650270464 in words is "four trillion, seven hundred sixty-five billion, six hundred fifty million, two hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 193 251 256 386 502 571 673 772 1004 1142 1346 1544 2008 2284 2692 3088 4016 4568 5384 6176 8032 9136 10768 12352 16064 18272 21536 24704 32128 36544 43072 48443 49408 64256 73088 86144 96886 110203 129889 143321 146176 168923 172288 193772 220406 259778 286642 337846 384283 387544 440812 519556 573284 675692 768566 775088 881624 1039112 1146568 1351384 1537132 1550176 1763248 2078224 2293136 2702768 3074264 3100352 3526496 4156448 4586272 5405536 6148528 6200704 7052992 8312896 9172544 10811072 12297056 12401408 14105984 16625792 18345088 21622144 24594112 27660953 28211968 32602139 33251584 36690176 43244288 49188224 55321906 65204278 74166619 96455033 98376448 110643812 130408556 148333238 192910066 221287624 260817112 296666476 385820132 442575248 521634224 593332952 771640264 885150496 1043268448 1186665904 1543280528 1770300992 2086536896 2373331808 3086561056 3540601984 4173073792 4746663616 6173122112 7081203968 8346147584 9493327232 12346244224 18615821369 18986654464 24692488448 37231642738 74463285476 148926570952 297853141904 595706283808 1191412567616 2382825135232 4765650270464