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106928921616 = 24311294719441
BaseRepresentation
bin110001110010101110…
…1011101110000010000
3101020000001122000211020
41203211131131300100
53222442300442431
6121042241515440
710503540560106
oct1434535356020
9336001560736
10106928921616
1141391652500
1218882342b80
13a11118a06a
145265397c76
152bac6b3696
hex18e575dc10

106928921616 has 120 divisors (see below), whose sum is σ = 303964315872. Its totient is φ = 32366822400.

The previous prime is 106928921611. The next prime is 106928921621. The reversal of 106928921616 is 616129829601.

It is an interprime number because it is at equal distance from previous prime (106928921611) and next prime (106928921621).

It is a super-2 number, since 2×1069289216162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106928921611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5490456 + ... + 5509896.

Almost surely, 2106928921616 is an apocalyptic number.

106928921616 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 106928921616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151982157936).

106928921616 is an abundant number, since it is smaller than the sum of its proper divisors (197035394256).

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

106928921616 is a wasteful number, since it uses less digits than its factorization.

106928921616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20421 (or 20404 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 106928921616 in words is "one hundred six billion, nine hundred twenty-eight million, nine hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 947 968 1452 1894 1936 2841 2904 3788 5682 5808 7576 10417 11364 15152 19441 20834 22728 31251 38882 41668 45456 58323 62502 77764 83336 114587 116646 125004 155528 166672 213851 229174 233292 250008 311056 343761 427702 458348 466584 500016 641553 687522 855404 916696 933168 1283106 1375044 1710808 1833392 2352361 2566212 2750088 3421616 4704722 5132424 5500176 7057083 9409444 10264848 14114166 18410627 18818888 28228332 36821254 37637776 55231881 56456664 73642508 110463762 112913328 147285016 202516897 220927524 294570032 405033794 441855048 607550691 810067588 883710096 1215101382 1620135176 2227685867 2430202764 3240270352 4455371734 4860405528 6683057601 8910743468 9720811056 13366115202 17821486936 26732230404 35642973872 53464460808 106928921616