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44749977994744 = 23115369113885331
BaseRepresentation
bin10100010110011001010101…
…00010101100010111111000
312212110001111220112022001221
422023030222202230113320
521331140423331312434
6235101504525321424
712266036112605641
oct1213145242542770
9185401456468057
1044749977994744
11132933a4a48520
125028a19106274
131bc7b9bb66a89
14b09ca65626c8
155290b27292b4
hex28b32a8ac5f8

44749977994744 has 64 divisors (see below), whose sum is σ = 93396075511680. Its totient is φ = 19928225616000.

The previous prime is 44749977994741. The next prime is 44749977994747.

44749977994744 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44749977994741) and next prime (44749977994747).

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44749977994741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3719842 + ... + 10165489.

It is an arithmetic number, because the mean of its divisors is an integer number (1459313679870).

Almost surely, 244749977994744 is an apocalyptic number.

44749977994744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44749977994744 is an abundant number, since it is smaller than the sum of its proper divisors (48646097516936).

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

44749977994744 is a wasteful number, since it uses less digits than its factorization.

44749977994744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13886092 (or 13886088 counting only the distinct ones).

The product of its digits is 64524128256, while the sum is 88.

The spelling of 44749977994744 in words is "forty-four trillion, seven hundred forty-nine billion, nine hundred seventy-seven million, nine hundred ninety-four thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 691 1166 1382 2332 2764 4664 5528 7601 15202 30404 36623 60808 73246 146492 292984 402853 805706 1611412 3222824 13885331 27770662 55541324 111082648 152738641 305477282 610954564 735922543 1221909128 1471845086 2943690172 5887380344 8095147973 9594763721 16190295946 19189527442 32380591892 38379054884 64761183784 76758109768 105542400931 211084801862 422169603724 508522477213 844339207448 1017044954426 2034089908852 4068179817704 5593747249343 11187494498686 22374988997372 44749977994744