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1642691407903 = 721323294338929
BaseRepresentation
bin10111111001111000000…
…010011011000000011111
312211001001222200201000221
4113321320002123000133
5203403213000023103
63254350401502211
7226452265404100
oct27717002330037
95731058621027
101642691407903
11583730525087
12226446041967
13bbb9c774250
14597144d23a7
152cae45051bd
hex17e7809b01f

1642691407903 has 96 divisors (see below), whose sum is σ = 2226776227200. Its totient is φ = 1197427359744.

The previous prime is 1642691407867. The next prime is 1642691407909. The reversal of 1642691407903 is 3097041962461.

It is not a de Polignac number, because 1642691407903 - 233 = 1634101473311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642691407909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183968143 + ... + 183977071.

It is an arithmetic number, because the mean of its divisors is an integer number (23195585700).

Almost surely, 21642691407903 is an apocalyptic number.

1642691407903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1642691407903 is a deficient number, since it is larger than the sum of its proper divisors (584084819297).

1642691407903 is a wasteful number, since it uses less digits than its factorization.

1642691407903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 1642691407903 in words is "one trillion, six hundred forty-two billion, six hundred ninety-one million, four hundred seven thousand, nine hundred three".

Divisors: 1 7 13 23 29 49 91 161 203 299 377 433 637 667 1127 1421 2093 2639 3031 4669 5629 8671 8929 9959 12557 14651 18473 21217 32683 39403 60697 62503 69713 87899 116077 129467 163241 205367 258941 275821 288811 424879 437521 487991 615293 812539 906269 1142687 1437569 1812587 2021677 2669771 3366233 3754543 3866257 5687773 5955643 6343883 7998809 10062983 12688109 14151739 18688397 23563631 26281801 27063799 41689501 50261341 77423359 88923911 112121453 130818779 164945417 183972607 189446593 291826507 351829387 541963513 622467377 784850171 1156010843 1457578889 2462805709 2578793419 3793744591 4357271639 5493951197 8092075901 10203052223 18051553933 33524314447 56644531307 71421365561 126360877531 234670201129 1642691407903