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1916696264704 = 226134
BaseRepresentation
bin11011111001000100000…
…000000000000000000000
320210020022212011122010121
4123321010000000000000
5222400343220432304
64024303524510024
7255322343303104
oct33710400000000
96706285148117
101916696264704
11679959089561
1226b57584b314
1310b988b40000
1468aa9045904
1534cce96e554
hex1be44000000

1916696264704 has 135 divisors (see below), whose sum is σ = 4152830691107. Its totient is φ = 884629045248.

The previous prime is 1916696264689. The next prime is 1916696264737. The reversal of 1916696264704 is 4074626966191.

The square root of 1916696264704 is 1384448.

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

It can be written as a sum of positive squares in 2 ways, for example, as 950328623104 + 966367641600 = 974848^2 + 983040^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=832.

It is a super-2 number, since 2×19166962647042 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 147438174202 + ... + 147438174214.

Almost surely, 21916696264704 is an apocalyptic number.

1916696264704 is a droll number since its even prime factors and its odd prime factors have the same sum.

1916696264704 is the 1384448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1916696264704

1916696264704 is an abundant number, since it is smaller than the sum of its proper divisors (2236134426403).

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

1916696264704 is an frugal number, since it uses more digits than its factorization.

1916696264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 1916696264704 in words is "one trillion, nine hundred sixteen billion, six hundred ninety-six million, two hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2197 2704 3328 4096 4394 5408 6656 8192 8788 10816 13312 16384 17576 21632 26624 28561 32768 35152 43264 53248 57122 65536 70304 86528 106496 114244 131072 140608 173056 212992 228488 262144 281216 346112 425984 456976 524288 562432 692224 851968 913952 1048576 1124864 1384448 1703936 1827904 2097152 2249728 2768896 3407872 3655808 4194304 4499456 5537792 6815744 7311616 8388608 8998912 11075584 13631488 14623232 16777216 17997824 22151168 27262976 29246464 33554432 35995648 44302336 54525952 58492928 67108864 71991296 88604672 109051904 116985856 143982592 177209344 218103808 233971712 287965184 354418688 436207616 467943424 575930368 708837376 872415232 935886848 1151860736 1417674752 1871773696 2303721472 2835349504 3743547392 4607442944 5670699008 7487094784 9214885888 11341398016 14974189568 18429771776 29948379136 36859543552 59896758272 73719087104 119793516544 147438174208 239587033088 479174066176 958348132352 1916696264704