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1370101357504 = 261131101961609
BaseRepresentation
bin10011111100000000011…
…001111001101111000000
311211222110201102101110101
4103330000121321233000
5134421431421420004
62525225455012144
7200662250246065
oct23740031715700
94758421371411
101370101357504
114890695526a0
121a165020a054
139c27a53c439
144a455826c6c
152598d3a7ba4
hex13f00679bc0

1370101357504 has 112 divisors (see below), whose sum is σ = 3064688409600. Its totient is φ = 602082662400.

The previous prime is 1370101357501. The next prime is 1370101357553. The reversal of 1370101357504 is 4057531010731.

It is a super-2 number, since 2×13701013575042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370101357501) 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 15 ways as a sum of consecutive naturals, for example, 22207852 + ... + 22269460.

Almost surely, 21370101357504 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 1370101357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532344204800).

1370101357504 is an abundant number, since it is smaller than the sum of its proper divisors (1694587052096).

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

1370101357504 is a wasteful number, since it uses less digits than its factorization.

1370101357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62682 (or 62672 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 1370101357504 in words is "one trillion, three hundred seventy billion, one hundred one million, three hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1019 1364 1984 2038 2728 4076 5456 8152 10912 11209 16304 21824 22418 31589 32608 44836 61609 63178 65216 89672 123218 126356 179344 246436 252712 347479 358688 492872 505424 677699 694958 717376 985744 1010848 1355398 1389916 1909879 1971488 2021696 2710796 2779832 3819758 3942976 5421592 5559664 7639516 10843184 11119328 15279032 21008669 21686368 22238656 30558064 42017338 43372736 61116128 62779571 84034676 122232256 125559142 168069352 251118284 336138704 502236568 672277408 690575281 1004473136 1344554816 1381150562 1946166701 2008946272 2762301124 3892333402 4017892544 5524602248 7784666804 11049204496 15569333608 21407833711 22098408992 31138667216 42815667422 44196817984 62277334432 85631334844 124554668864 171262669688 342525339376 685050678752 1370101357504