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149690278320 = 24351170278069
BaseRepresentation
bin1000101101101000111…
…1000110000110110000
3112022101011200000121020
42023122033012012300
54423031202401240
6152433342055440
713546315241412
oct2133217060660
9468334600536
10149690278320
1158535294720
1225016b7a580
13111673596ab
1473605aa9b2
153d618000d0
hex22da3c61b0

149690278320 has 160 divisors (see below), whose sum is σ = 506360090880. Its totient is φ = 36278891520.

The previous prime is 149690278273. The next prime is 149690278327. The reversal of 149690278320 is 23872096941.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (149690278327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18547246 + ... + 18555314.

It is an arithmetic number, because the mean of its divisors is an integer number (3164750568).

Almost surely, 2149690278320 is an apocalyptic number.

149690278320 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 149690278320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253180045440).

149690278320 is an abundant number, since it is smaller than the sum of its proper divisors (356669812560).

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

149690278320 is a wasteful number, since it uses less digits than its factorization.

149690278320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15123 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 149690278320 in words is "one hundred forty-nine billion, six hundred ninety million, two hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7027 8069 14054 16138 21081 24207 28108 32276 35135 40345 42162 48414 56216 64552 70270 77297 80690 84324 88759 96828 105405 112432 121035 129104 140540 154594 161380 168648 177518 193656 210810 231891 242070 266277 281080 309188 322760 337296 355036 386485 387312 421620 443795 463782 484140 532554 562160 618376 645520 710072 772970 843240 887590 927564 968280 1065108 1159455 1236752 1331385 1420144 1545940 1686480 1775180 1855128 1936560 2130216 2318910 2662770 3091880 3550360 3710256 4260432 4637820 5325540 6183760 7100720 9275640 10651080 18551280 21302160 56700863 113401726 170102589 226803452 283504315 340205178 453606904 567008630 623709493 680410356 850512945 907213808 1134017260 1247418986 1360820712 1701025890 1871128479 2268034520 2494837972 2721641424 3118547465 3402051780 3742256958 4536069040 4989675944 6237094930 6804103560 7484513916 9355642395 9979351888 12474189860 13608207120 14969027832 18711284790 24948379720 29938055664 37422569580 49896759440 74845139160 149690278320