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1480650510976 = 27713731741319
BaseRepresentation
bin10101100010111101101…
…001011101001010000000
312020112211002011020202221
4111202331221131022000
5143224333012322401
63052111303020424
7211654620454060
oct25427551351200
95215732136687
101480650510976
11520a3868194a
121bab62a3a714
13a9817741410
14519419193a0
15287ad7c77a1
hex158bda5d280

1480650510976 has 128 divisors (see below), whose sum is σ = 3680175340800. Its totient is φ = 577727520768.

The previous prime is 1480650510947. The next prime is 1480650510991. The reversal of 1480650510976 is 6790150560841.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20356 + ... + 1720963.

It is an arithmetic number, because the mean of its divisors is an integer number (28751369850).

Almost surely, 21480650510976 is an apocalyptic number.

1480650510976 is a gapful number since it is divisible by the number (16) 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 1480650510976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840087670400).

1480650510976 is an abundant number, since it is smaller than the sum of its proper divisors (2199524829824).

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

1480650510976 is a wasteful number, since it uses less digits than its factorization.

1480650510976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741426 (or 1741414 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 1480650510976 in words is "one trillion, four hundred eighty billion, six hundred fifty million, five hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 73 91 104 112 128 146 182 208 224 292 364 416 448 511 584 728 832 896 949 1022 1168 1456 1664 1898 2044 2336 2912 3796 4088 4672 5824 6643 7592 8176 9344 11648 13286 15184 16352 26572 30368 32704 53144 60736 65408 106288 121472 212576 425152 850304 1741319 3482638 6965276 12189233 13930552 22637147 24378466 27861104 45274294 48756932 55722208 90548588 97513864 111444416 127116287 158460029 181097176 195027728 222888832 254232574 316920058 362194352 390055456 508465148 633840116 724388704 780110912 889814009 1016930296 1267680232 1448777408 1560221824 1652511731 1779628018 2033860592 2535360464 2897554816 3305023462 3559256036 4067721184 5070720928 6610046924 7118512072 8135442368 10141441856 11567582117 13220093848 14237024144 16270884736 20282883712 23135164234 26440187696 28474048288 46270328468 52880375392 56948096576 92540656936 105760750784 113896193152 185081313872 211521501568 370162627744 740325255488 1480650510976