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1007674130631 = 37372617495559
BaseRepresentation
bin11101010100111100000…
…11110000000011000111
310120022222112122122122110
432222132003300003013
5113002204034140011
62050530305432103
7132542050533510
oct16523603600307
93508875578573
101007674130631
1135939685a913
1214336403b633
137403c15403c
1436ab3725a07
151b32a342ba6
hexea9e0f00c7

1007674130631 has 32 divisors (see below), whose sum is σ = 1577609313280. Its totient is φ = 560036042496.

The previous prime is 1007674130611. The next prime is 1007674130641. The reversal of 1007674130631 is 1360314767001.

It is not a de Polignac number, because 1007674130631 - 29 = 1007674130119 is a prime.

It is a super-2 number, since 2×10076741306312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1007674130631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007674130611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1785630 + ... + 2281188.

It is an arithmetic number, because the mean of its divisors is an integer number (49300291040).

Almost surely, 21007674130631 is an apocalyptic number.

1007674130631 is a deficient number, since it is larger than the sum of its proper divisors (569935182649).

1007674130631 is a wasteful number, since it uses less digits than its factorization.

1007674130631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498223.

The product of its (nonzero) digits is 63504, while the sum is 39.

Adding to 1007674130631 its reverse (1360314767001), we get a palindrome (2367988897632).

The spelling of 1007674130631 in words is "one trillion, seven billion, six hundred seventy-four million, one hundred thirty thousand, six hundred thirty-one".

Divisors: 1 3 7 21 37 111 259 777 2617 7851 18319 54957 96829 290487 495559 677803 1486677 2033409 3468913 10406739 18335683 55007049 128349781 385049343 1296877903 3890633709 9078145321 27234435963 47984482411 143953447233 335891376877 1007674130631