Search a number
-
+
16401015606276 = 22327607107221409
BaseRepresentation
bin1110111010101010100010…
…1101011000110000000100
32011001220212222101022121200
43232222220231120300010
54122203234443400101
654514304512142500
73311635312306650
oct356525055306004
964056788338550
1016401015606276
1152536a48108a4
121a0a762b37a30
1391c7bc3690c2
14409b55d31a60
151d6964a39986
hexeeaa8b58c04

16401015606276 has 72 divisors (see below), whose sum is σ = 47458769379840. Its totient is φ = 4678284473856.

The previous prime is 16401015606229. The next prime is 16401015606337. The reversal of 16401015606276 is 67260651010461.

16401015606276 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 1 + 0 + 15 + 6 + 0 + 627 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53457741 + ... + 53763668.

It is an arithmetic number, because the mean of its divisors is an integer number (659149574720).

Almost surely, 216401015606276 is an apocalyptic number.

It is an amenable number.

16401015606276 is an abundant number, since it is smaller than the sum of its proper divisors (31057753773564).

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

16401015606276 is a wasteful number, since it uses less digits than its factorization.

16401015606276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107222033 (or 107222028 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16401015606276 in words is "sixteen trillion, four hundred one billion, fifteen million, six hundred six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 607 1214 1821 2428 3642 4249 5463 7284 8498 10926 12747 16996 21852 25494 38241 50988 76482 152964 107221409 214442818 321664227 428885636 643328454 750549863 964992681 1286656908 1501099726 1929985362 2251649589 3002199452 3859970724 4503299178 6754948767 9006598356 13509897534 27019795068 65083395263 130166790526 195250185789 260333581052 390500371578 455583766841 585750557367 781000743156 911167533682 1171501114734 1366751300523 1822335067364 2343002229468 2733502601046 4100253901569 5467005202092 8200507803138 16401015606276