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1375865513152 = 261344910493511
BaseRepresentation
bin10100000001010111111…
…110011010010011000000
311212112100102200211111121
4110001113332122103000
5140020233032410102
62532021444522024
7201255141620434
oct24012776322300
94775312624447
101375865513152
11490557239099
121a279a6b0314
139c9887b0a20
144a8411a29c4
1525bc9455b37
hex14057f9a4c0

1375865513152 has 112 divisors (see below), whose sum is σ = 2950448760000. Its totient is φ = 632816271360.

The previous prime is 1375865513147. The next prime is 1375865513153. The reversal of 1375865513152 is 2513155685731.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 1375865513152.

It is not an unprimeable number, because it can be changed into a prime (1375865513153) 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, 391871077 + ... + 391874587.

It is an arithmetic number, because the mean of its divisors is an integer number (26343292500).

Almost surely, 21375865513152 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 1375865513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475224380000).

1375865513152 is an abundant number, since it is smaller than the sum of its proper divisors (1574583246848).

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

1375865513152 is a wasteful number, since it uses less digits than its factorization.

1375865513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5024 counting only the distinct ones).

The product of its digits is 3780000, while the sum is 52.

The spelling of 1375865513152 in words is "one trillion, three hundred seventy-five billion, eight hundred sixty-five million, five hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 449 832 898 1049 1796 2098 3511 3592 4196 5837 7022 7184 8392 11674 13637 14044 14368 16784 23348 27274 28088 28736 33568 45643 46696 54548 56176 67136 91286 93392 109096 112352 182572 186784 218192 224704 365144 373568 436384 471001 730288 872768 942002 1460576 1576439 1884004 2921152 3152878 3683039 3768008 6123013 6305756 7366078 7536016 12246026 12611512 14732156 15072032 20493707 24492052 25223024 29464312 30144064 40987414 47879507 48984104 50446048 58928624 81974828 95759014 97968208 100892096 117857248 163949656 191518028 195936416 235714496 327899312 383036056 391872832 655798624 766072112 1311597248 1532144224 1653684511 3064288448 3307369022 6614738044 13229476088 21497898643 26458952176 42995797286 52917904352 85991594572 105835808704 171983189144 343966378288 687932756576 1375865513152