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148210937652 = 22329757562607
BaseRepresentation
bin1000101000001000001…
…1110110111100110100
3112011120002000201201010
42022002003312330310
54412014000001102
6152030454432220
713464543120021
oct2120203667464
9464502021633
10148210937652
1157946235128
1224883662670
1310c8ca1b99b
14725dd24548
153cc69d6d6c
hex22820f6f34

148210937652 has 48 divisors (see below), whose sum is σ = 358223765760. Its totient is φ = 47636975232.

The previous prime is 148210937617. The next prime is 148210937671. The reversal of 148210937652 is 256739012841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17868 + ... + 544739.

It is an arithmetic number, because the mean of its divisors is an integer number (7462995120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅148210937652 = 296421875304, but 3⋅148210937652 = 444632812956 is not.

Almost surely, 2148210937652 is an apocalyptic number.

148210937652 is a gapful number since it is divisible by the number (12) 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 148210937652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179111882880).

148210937652 is an abundant number, since it is smaller than the sum of its proper divisors (210012828108).

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

148210937652 is a wasteful number, since it uses less digits than its factorization.

148210937652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563400 (or 563398 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 148210937652 in words is "one hundred forty-eight billion, two hundred ten million, nine hundred thirty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 757 1514 2271 3028 4542 9084 21953 43906 65859 87812 131718 263436 562607 1125214 1687821 2250428 3375642 6751284 16315603 32631206 48946809 65262412 97893618 195787236 425893499 851786998 1277680497 1703573996 2555360994 5110721988 12350911471 24701822942 37052734413 49403645884 74105468826 148210937652