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1137630241734 = 23761974577731
BaseRepresentation
bin10000100011100000000…
…010111110001111000110
311000202102102000010000120
4100203200002332033012
5122114331320213414
62230341540122410
7145122352335060
oct20434002761706
94022372003016
101137630241734
113a9514682628
12164592096406
138337cbccbbc
143d0c1048730
151e8d43d72a9
hex108e00be3c6

1137630241734 has 64 divisors (see below), whose sum is σ = 2670172764672. Its totient is φ = 316412697600.

The previous prime is 1137630241733. The next prime is 1137630241751. The reversal of 1137630241734 is 4371420367311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137630241733) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2040352 + ... + 2537379.

It is an arithmetic number, because the mean of its divisors is an integer number (41721449448).

Almost surely, 21137630241734 is an apocalyptic number.

1137630241734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1137630241734 is an abundant number, since it is smaller than the sum of its proper divisors (1532542522938).

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

1137630241734 is a wasteful number, since it uses less digits than its factorization.

1137630241734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577901.

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 1137630241734 in words is "one trillion, one hundred thirty-seven billion, six hundred thirty million, two hundred forty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 61 97 122 183 194 291 366 427 582 679 854 1281 1358 2037 2562 4074 5917 11834 17751 35502 41419 82838 124257 248514 4577731 9155462 13733193 27466386 32044117 64088234 96132351 192264702 279241591 444039907 558483182 837724773 888079814 1332119721 1675449546 1954691137 2664239442 3108279349 3909382274 5864073411 6216558698 9324838047 11728146822 18649676094 27086434327 54172868654 81259302981 162518605962 189605040289 379210080578 568815120867 1137630241734