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38157248149629 = 3737431113940667
BaseRepresentation
bin10001010110100001011010…
…01110001011100001111101
312000002210112020012211022020
420223100231032023201331
520000132021011242004
6213053110420510353
711015525115543330
oct1053205516134175
9160083466184266
1038157248149629
1111181441906544
12434316924b3b9
13183a2a0130b9b
1495cb6bc90617
15462856d038d9
hex22b42d38b87d

38157248149629 has 32 divisors (see below), whose sum is σ = 59854400188416. Its totient is φ = 21165618116160.

The previous prime is 38157248149607. The next prime is 38157248149633. The reversal of 38157248149629 is 92694184275183.

38157248149629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38157248149629 - 28 = 38157248149373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38157248149649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56635447 + ... + 57305220.

It is an arithmetic number, because the mean of its divisors is an integer number (1870450005888).

Almost surely, 238157248149629 is an apocalyptic number.

It is an amenable number.

38157248149629 is a deficient number, since it is larger than the sum of its proper divisors (21697152038787).

38157248149629 is a wasteful number, since it uses less digits than its factorization.

38157248149629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113941145.

The product of its digits is 209018880, while the sum is 69.

The spelling of 38157248149629 in words is "thirty-eight trillion, one hundred fifty-seven billion, two hundred forty-eight million, one hundred forty-nine thousand, six hundred twenty-nine".

Divisors: 1 3 7 21 37 111 259 431 777 1293 3017 9051 15947 47841 111629 334887 113940667 341822001 797584669 2392754007 4215804679 12647414037 29510632753 49108427477 88531898259 147325282431 343758992339 1031276977017 1817011816649 5451035449947 12719082716543 38157248149629