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377344113504 = 25371431128449
BaseRepresentation
bin1010111110110110111…
…01100011101101100000
31100001222202112002101120
411133123131203231200
522140300043113004
6445203253532240
736155640020541
oct5373335435540
91301882462346
10377344113504
11136037a07566
126116b944080
1329777953c47
141439928c4c8
159c3790d3d9
hex57db763b60

377344113504 has 96 divisors (see below), whose sum is σ = 1006817817600. Its totient is φ = 123721113600.

The previous prime is 377344113479. The next prime is 377344113583. The reversal of 377344113504 is 405311443773.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3773441135042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2873472 + ... + 3001920.

It is an arithmetic number, because the mean of its divisors is an integer number (10487685600).

Almost surely, 2377344113504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377344113504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503408908800).

377344113504 is an abundant number, since it is smaller than the sum of its proper divisors (629473704096).

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

377344113504 is a wasteful number, since it uses less digits than its factorization.

377344113504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128964 (or 128956 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 377344113504 in words is "three hundred seventy-seven billion, three hundred forty-four million, one hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 431 568 852 862 1136 1293 1704 1724 2272 2586 3408 3448 5172 6816 6896 10344 13792 20688 30601 41376 61202 91803 122404 128449 183606 244808 256898 367212 385347 489616 513796 734424 770694 979232 1027592 1468848 1541388 2055184 2937696 3082776 4110368 6165552 9119879 12331104 18239758 27359637 36479516 54719274 55361519 72959032 109438548 110723038 145918064 166084557 218877096 221446076 291836128 332169114 437754192 442892152 664338228 875508384 885784304 1328676456 1771568608 2657352912 3930667849 5314705824 7861335698 11792003547 15722671396 23584007094 31445342792 47168014188 62890685584 94336028376 125781371168 188672056752 377344113504