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106047155617 = 13193749123633
BaseRepresentation
bin110001011000011100…
…1110010110110100001
3101010201121102200021021
41202300321302312201
53214141032434432
6120414542325441
710442642643544
oct1426071626641
9333647380237
10106047155617
1140a79944677
1218676b89881
13a0005a9030
1451c022685b
152b5a089697
hex18b0e72da1

106047155617 has 32 divisors (see below), whose sum is σ = 123721153920. Its totient is φ = 90043591680.

The previous prime is 106047155593. The next prime is 106047155629. The reversal of 106047155617 is 716551740601.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106047155617 is a prime.

It is a super-2 number, since 2×1060471556172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106047155017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4475433 + ... + 4499065.

It is an arithmetic number, because the mean of its divisors is an integer number (3866286060).

Almost surely, 2106047155617 is an apocalyptic number.

It is an amenable number.

106047155617 is a deficient number, since it is larger than the sum of its proper divisors (17673998303).

106047155617 is a wasteful number, since it uses less digits than its factorization.

106047155617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24193.

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 106047155617 in words is "one hundred six billion, forty-seven million, one hundred fifty-five thousand, six hundred seventeen".

Divisors: 1 13 19 37 247 481 491 703 6383 9139 9329 18167 23633 121277 236171 307229 345173 449027 874421 4487249 5837351 11367473 11603803 16613999 150849439 215981987 220472257 429340711 2866139341 5581429243 8157473509 106047155617