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381609857916 = 2232721911385901
BaseRepresentation
bin1011000110110011011…
…10000101001101111100
31100111000001021100122100
411203121232011031330
522223014110423131
6451150435345100
736366435162300
oct5433156051574
91314001240570
10381609857916
111379268a8471
1261b60452190
1329ca763b471
1414681a19d00
159dd71777e6
hex58d9b8537c

381609857916 has 108 divisors (see below), whose sum is σ = 1181173473480. Its totient is φ = 103292884800.

The previous prime is 381609857911. The next prime is 381609857969. The reversal of 381609857916 is 619758906183.

381609857916 is a `hidden beast` number, since 3 + 8 + 1 + 609 + 8 + 5 + 7 + 9 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381609857911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5659435 + ... + 5726466.

Almost surely, 2381609857916 is an apocalyptic number.

381609857916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381609857916 is an abundant number, since it is smaller than the sum of its proper divisors (799563615564).

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

381609857916 is a wasteful number, since it uses less digits than its factorization.

381609857916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385944 (or 11385932 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

It can be divided in two parts, 381609 and 857916, that added together give a triangular number (1239525 = T1574).

The spelling of 381609857916 in words is "three hundred eighty-one billion, six hundred nine million, eight hundred fifty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 4788 5586 8379 11172 16758 33516 11385901 22771802 34157703 45543604 68315406 79701307 102473109 136630812 159402614 204946218 216332119 239103921 318805228 409892436 432664238 478207842 557909149 648996357 717311763 865328476 956415684 1115818298 1297992714 1434623526 1514324833 1673727447 1946989071 2231636596 2595985428 2869247052 3028649666 3347454894 3893978142 4542974499 5021182341 6057299332 6694909788 7787956284 9085948998 10042364682 10600273831 13628923497 18171897996 20084729364 21200547662 27257846994 31800821493 42401095324 54515693988 63601642986 95402464479 127203285972 190804928958 381609857916