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42735277253724 = 223112972310892309
BaseRepresentation
bin10011011011110000101010…
…00001010010010001011100
312121022110012221122102120020
421231320111001102101130
521100133321434104344
6230520152040352140
712000344003063406
oct1155702501222134
9177273187572506
1042735277253724
1112686a249a33a0
124962471a75650
131aacbc4a850a3
14a7a58150bb76
154e1998d4b719
hex26de1505245c

42735277253724 has 48 divisors (see below), whose sum is σ = 108784375539840. Its totient is φ = 12949647135040.

The previous prime is 42735277253719. The next prime is 42735277253771.

42735277253724 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522719 + ... + 9369590.

It is an arithmetic number, because the mean of its divisors is an integer number (2266341157080).

Almost surely, 242735277253724 is an apocalyptic number.

42735277253724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42735277253724 is an abundant number, since it is smaller than the sum of its proper divisors (66049098286116).

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

42735277253724 is a wasteful number, since it uses less digits than its factorization.

42735277253724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922050 (or 10922048 counting only the distinct ones).

The product of its digits is 138297600, while the sum is 60.

The spelling of 42735277253724 in words is "forty-two trillion, seven hundred thirty-five billion, two hundred seventy-seven million, two hundred fifty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 29723 59446 89169 118892 178338 326953 356676 653906 980859 1307812 1961718 3923436 10892309 21784618 32676927 43569236 65353854 119815399 130707708 239630798 359446197 479261596 718892394 1437784788 323752100407 647504200814 971256301221 1295008401628 1942512602442 3561273104477 3885025204884 7122546208954 10683819313431 14245092417908 21367638626862 42735277253724