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150413739520 = 2951111347269
BaseRepresentation
bin1000110000010101011…
…0111000011000000000
3112101020120222122210111
42030011112320120000
54431021404131040
6153033224241104
713603251455632
oct2140526703000
9471216878714
10150413739520
11588766a8840
1225199310194
13112511c1745
1473cc6d0a52
153da50a8dea
hex23055b8600

150413739520 has 160 divisors (see below), whose sum is σ = 396915979680. Its totient is φ = 54210723840.

The previous prime is 150413739473. The next prime is 150413739569. The reversal of 150413739520 is 25937314051.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3158446 + ... + 3205714.

It is an arithmetic number, because the mean of its divisors is an integer number (2480724873).

Almost surely, 2150413739520 is an apocalyptic number.

150413739520 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 150413739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198457989840).

150413739520 is an abundant number, since it is smaller than the sum of its proper divisors (246502240160).

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

150413739520 is a wasteful number, since it uses less digits than its factorization.

150413739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47416 (or 47400 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 150413739520 in words is "one hundred fifty billion, four hundred thirteen million, seven hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 113 128 160 176 220 226 256 320 352 440 452 512 565 640 704 880 904 1130 1243 1280 1408 1760 1808 2260 2486 2560 2816 3520 3616 4520 4972 5632 6215 7040 7232 9040 9944 12430 14080 14464 18080 19888 24860 28160 28928 36160 39776 47269 49720 57856 72320 79552 94538 99440 144640 159104 189076 198880 236345 289280 318208 378152 397760 472690 519959 636416 756304 795520 945380 1039918 1512608 1591040 1890760 2079836 2599795 3025216 3182080 3781520 4159672 5199590 5341397 6050432 7563040 8319344 10399180 10682794 12100864 15126080 16638688 20798360 21365588 24201728 26706985 30252160 33277376 41596720 42731176 53413970 58755367 60504320 66554752 83193440 85462352 106827940 117510734 121008640 133109504 166386880 170924704 213655880 235021468 266219008 293776835 332773760 341849408 427311760 470042936 587553670 665547520 683698816 854623520 940085872 1175107340 1331095040 1367397632 1709247040 1880171744 2350214680 2734795264 3418494080 3760343488 4700429360 6836988160 7520686976 9400858720 13673976320 15041373952 18801717440 30082747904 37603434880 75206869760 150413739520