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1061997696 = 27331372243
BaseRepresentation
bin111111010011001…
…100110010000000
32202000100001222000
4333103030302000
54133332411241
6253214144000
735213555124
oct7723146200
92660301860
101061997696
114a5519651
122577b2000
1313c036506
14a1089584
156337aeb6
hex3f4ccc80

1061997696 has 128 divisors (see below), whose sum is σ = 3158654400. Its totient is φ = 351258624.

The previous prime is 1061997691. The next prime is 1061997697. The reversal of 1061997696 is 6967991601.

1061997696 is a `hidden beast` number, since 10 + 619 + 9 + 7 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10619976962 = 2255678212618616832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061997691) 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, 472351 + ... + 474593.

Almost surely, 21061997696 is an apocalyptic number.

1061997696 is a gapful number since it is divisible by the number (16) 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 1061997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579327200).

1061997696 is an abundant number, since it is smaller than the sum of its proper divisors (2096656704).

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

1061997696 is a wasteful number, since it uses less digits than its factorization.

1061997696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 1061997696 is about 32588.3061235161. The cubic root of 1061997696 is about 1020.2529476475.

The spelling of 1061997696 in words is "one billion, sixty-one million, nine hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 137 144 192 216 274 288 384 411 432 548 576 822 864 1096 1152 1233 1644 1728 2192 2243 2466 3288 3456 3699 4384 4486 4932 6576 6729 7398 8768 8972 9864 13152 13458 14796 17536 17944 19728 20187 26304 26916 29592 35888 39456 40374 52608 53832 59184 60561 71776 78912 80748 107664 118368 121122 143552 157824 161496 215328 236736 242244 287104 307291 322992 430656 473472 484488 614582 645984 861312 921873 968976 1229164 1291968 1843746 1937952 2458328 2583936 2765619 3687492 3875904 4916656 5531238 7374984 7751808 8296857 9833312 11062476 14749968 16593714 19666624 22124952 29499936 33187428 39333248 44249904 58999872 66374856 88499808 117999744 132749712 176999616 265499424 353999232 530998848 1061997696