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1911538517056 = 267435272
BaseRepresentation
bin11011110100010000100…
…100110000010001000000
320202202000101221220110221
4123310100210300101000
5222304312330021211
64022052040232424
7255050464210000
oct33642044602100
96682011856427
101911538517056
116777517283a3
1226a57646b714
1310b3463cbc1c
146873a040000
1534acbc57c71
hex1bd10930440

1911538517056 has 105 divisors (see below), whose sum is σ = 4426402482839. Its totient is φ = 818998518912.

The previous prime is 1911538516967. The next prime is 1911538517081. The reversal of 1911538517056 is 6507158351191.

The square root of 1911538517056 is 1382584.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1911538516994 and 1911538517012.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 541971165 + ... + 541974691.

Almost surely, 21911538517056 is an apocalyptic number.

1911538517056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1911538517056 is the 1382584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1911538517056

1911538517056 is an abundant number, since it is smaller than the sum of its proper divisors (2514863965783).

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

1911538517056 is an frugal number, since it uses more digits than its factorization.

1911538517056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 52.

The spelling of 1911538517056 in words is "one trillion, nine hundred eleven billion, five hundred thirty-eight million, five hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2401 2744 3136 3527 4802 5488 7054 9604 10976 14108 19208 21952 24689 28216 38416 49378 56432 76832 98756 112864 153664 172823 197512 225728 345646 395024 691292 790048 1209761 1382584 1580096 2419522 2765168 4839044 5530336 8468327 9678088 11060672 12439729 16936654 19356176 24879458 33873308 38712352 49758916 67746616 77424704 87078103 99517832 135493232 174156206 199035664 270986464 348312412 398071328 541972928 609546721 696624824 796142656 1219093442 1393249648 2438186884 2786499296 4266827047 4876373768 5572998592 8533654094 9752747536 17067308188 19505495072 29867789329 34134616376 39010990144 59735578658 68269232752 119471157316 136538465504 238942314632 273076931008 477884629264 955769258528 1911538517056