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36522045540 = 22325172702077
BaseRepresentation
bin100010000000111000…
…100011000001100100
310111021021200010220100
4202000320203001210
51044244120424130
624440014104100
72432023156611
oct420070430144
9114237603810
1036522045540
1114541819412
1270b31ab030
1335a0664446
141aa670b508
15e3b4d1c60
hex880e23064

36522045540 has 108 divisors (see below), whose sum is σ = 117683718516. Its totient is φ = 9166304256.

The previous prime is 36522045479. The next prime is 36522045541. The reversal of 36522045540 is 4554022563.

36522045540 is a `hidden beast` number, since 3 + 6 + 52 + 20 + 45 + 540 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4070184804 + 32451860736 = 63798^2 + 180144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36522045495 and 36522045504.

It is not an unprimeable number, because it can be changed into a prime (36522045541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 299019 + ... + 403058.

Almost surely, 236522045540 is an apocalyptic number.

36522045540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36522045540 is an abundant number, since it is smaller than the sum of its proper divisors (81161672976).

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

36522045540 is a wasteful number, since it uses less digits than its factorization.

36522045540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702126 (or 702104 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 36522045540 in words is "thirty-six billion, five hundred twenty-two million, forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 26010 52020 702077 1404154 2106231 2808308 3510385 4212462 6318693 7020770 8424924 10531155 11935309 12637386 14041540 21062310 23870618 25274772 31593465 35805927 42124620 47741236 59676545 63186930 71611854 107417781 119353090 126373860 143223708 179029635 202900253 214835562 238706180 358059270 405800506 429671124 537088905 608700759 716118540 811601012 1014501265 1074177810 1217401518 1826102277 2029002530 2148355620 2434803036 3043503795 3652204554 4058005060 6087007590 7304409108 9130511385 12174015180 18261022770 36522045540