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106245225456 = 2432922631917
BaseRepresentation
bin110001011110010110…
…1010111101111110000
3101011020102010200000020
41202330231113233300
53220042234203311
6120450335523440
710450566341616
oct1427455275760
9334212120006
10106245225456
1141070729457
1218711389580
13a032638916
1451dc6656b6
152b6c661c06
hex18bcb57bf0

106245225456 has 60 divisors (see below), whose sum is σ = 284257671672. Its totient is φ = 34193852672.

The previous prime is 106245225389. The next prime is 106245225461. The reversal of 106245225456 is 654522542601.

It is a happy number.

It is a super-2 number, since 2×1062452254562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275591 + ... + 1356326.

Almost surely, 2106245225456 is an apocalyptic number.

106245225456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106245225456 is an abundant number, since it is smaller than the sum of its proper divisors (178012446216).

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

106245225456 is a wasteful number, since it uses less digits than its factorization.

106245225456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631986 (or 2631951 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 106245225456 in words is "one hundred six billion, two hundred forty-five million, two hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 841 1392 1682 2523 3364 5046 6728 10092 13456 20184 40368 2631917 5263834 7895751 10527668 15791502 21055336 31583004 42110672 63166008 76325593 126332016 152651186 228976779 305302372 457953558 610604744 915907116 1221209488 1831814232 2213442197 3663628464 4426884394 6640326591 8853768788 13280653182 17707537576 26561306364 35415075152 53122612728 106245225456