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149240794680 = 23335359384919
BaseRepresentation
bin1000101011111101110…
…0011100111000111000
3112021012211212212222000
42022333130130320320
54421121120412210
6152321004101000
713532216552445
oct2127734347070
9467184785860
10149240794680
11583245a0a3a
1224b10534760
13110c51b0a43
14731aa049cc
153d37114ac0
hex22bf71ce38

149240794680 has 128 divisors (see below), whose sum is σ = 498856320000. Its totient is φ = 39686585472.

The previous prime is 149240794561. The next prime is 149240794687. The reversal of 149240794680 is 86497042941.

149240794680 is a `hidden beast` number, since 1 + 4 + 92 + 407 + 94 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149240794687) 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, 195261 + ... + 580179.

It is an arithmetic number, because the mean of its divisors is an integer number (3897315000).

Almost surely, 2149240794680 is an apocalyptic number.

149240794680 is a gapful number since it is divisible by the number (10) 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 149240794680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249428160000).

149240794680 is an abundant number, since it is smaller than the sum of its proper divisors (349615525320).

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

149240794680 is a wasteful number, since it uses less digits than its factorization.

149240794680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385298 (or 385288 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 149240794680 in words is "one hundred forty-nine billion, two hundred forty million, seven hundred ninety-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 359 360 540 718 1077 1080 1436 1795 2154 2872 3231 3590 4308 5385 6462 7180 8616 9693 10770 12924 14360 16155 19386 21540 25848 32310 38772 43080 48465 64620 77544 96930 129240 193860 384919 387720 769838 1154757 1539676 1924595 2309514 3079352 3464271 3849190 4619028 5773785 6928542 7698380 9238056 10392813 11547570 13857084 15396760 17321355 20785626 23095140 27714168 34642710 41571252 46190280 51964065 69285420 83142504 103928130 138185921 138570840 207856260 276371842 414557763 415712520 552743684 690929605 829115526 1105487368 1243673289 1381859210 1658231052 2072788815 2487346578 2763718420 3316462104 3731019867 4145577630 4974693156 5527436840 6218366445 7462039734 8291155260 9949386312 12436732890 14924079468 16582310520 18655099335 24873465780 29848158936 37310198670 49746931560 74620397340 149240794680