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1375751374100 = 2252591392397019
BaseRepresentation
bin10100000001010001001…
…011000000010100010100
311212112001110220222011022
4110001101023000110110
5140020014322432400
62532002250300312
7201252254506505
oct24012113002424
94775043828138
101375751374100
114904a886a7a4
121a2768427698
139c96ac5971c
144a82dd70bac
1525bbe40bb85
hex140512c0514

1375751374100 has 144 divisors (see below), whose sum is σ = 3071053440000. Its totient is φ = 534758125440.

The previous prime is 1375751374099. The next prime is 1375751374117. The reversal of 1375751374100 is 14731575731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196000391 + ... + 196007409.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760000).

Almost surely, 21375751374100 is an apocalyptic number.

1375751374100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375751374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720000).

1375751374100 is an abundant number, since it is smaller than the sum of its proper divisors (1695302065900).

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

1375751374100 is a wasteful number, since it uses less digits than its factorization.

1375751374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 44.

The spelling of 1375751374100 in words is "one trillion, three hundred seventy-five billion, seven hundred fifty-one million, three hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 139 236 239 278 295 478 556 590 695 956 1180 1195 1390 1475 2390 2780 2950 3475 4780 5900 5975 6950 7019 8201 11950 13900 14038 14101 16402 23900 28076 28202 32804 33221 35095 41005 56404 66442 70190 70505 82010 132884 140380 141010 164020 166105 175475 205025 282020 332210 350950 352525 410050 414121 664420 701900 705050 820100 828242 830525 975641 1410100 1656484 1661050 1677541 1951282 1960039 2070605 3322100 3355082 3902564 3920078 4141210 4878205 6710164 7840156 8282420 8387705 9756410 9800195 10353025 16775410 19512820 19600390 20706050 24391025 33550820 39200780 41412100 41938525 48782050 49000975 57562819 83877050 97564100 98001950 98974919 115125638 167754100 196003900 197949838 230251276 233178199 287814095 395899676 466356398 494874595 575628190 932712796 989749190 1151256380 1165890995 1439070475 1979498380 2331781990 2474372975 2878140950 4663563980 4948745950 5756281900 5829454975 9897491900 11658909950 13757513741 23317819900 27515027482 55030054964 68787568705 137575137410 275150274820 343937843525 687875687050 1375751374100