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1022650832644 = 22741726072
BaseRepresentation
bin11101110000110101011…
…11010101011100000100
310121202122021221221111121
432320122233111130010
5113223342103121034
62101444352243324
7133612145440000
oct16703257253404
93552567857447
101022650832644
113647818097a1
12146243840544
1375587c037ac
14376d4803700
151b9050a41b4
hexee1abd5704

1022650832644 has 135 divisors (see below), whose sum is σ = 2221482883893. Its totient is φ = 411818246784.

The previous prime is 1022650832611. The next prime is 1022650832773. The reversal of 1022650832644 is 4462380562201.

The square root of 1022650832644 is 1011262.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 796181444100 + 226469388544 = 892290^2 + 475888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1022650832644.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1684762189 + ... + 1684762795.

Almost surely, 21022650832644 is an apocalyptic number.

1022650832644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1022650832644 is the 1011262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022650832644

1022650832644 is an abundant number, since it is smaller than the sum of its proper divisors (1198832051249).

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

1022650832644 is an frugal number, since it uses more digits than its factorization.

1022650832644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 1022650832644 in words is "one trillion, twenty-two billion, six hundred fifty million, eight hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 343 476 578 607 686 833 1156 1214 1372 1666 2023 2401 2428 3332 4046 4249 4802 5831 8092 8498 9604 10319 11662 14161 16996 20638 23324 28322 29743 40817 41276 56644 59486 72233 81634 99127 118972 144466 163268 175423 198254 208201 288932 350846 368449 396508 416402 505631 693889 701692 736898 832804 1011262 1227961 1387778 1457407 1473796 2022524 2455922 2579143 2775556 2914814 3539417 4911844 5158286 5829628 6263633 7078834 8595727 10316572 12527266 14157668 17191454 18054001 24775919 25054532 34382908 36108002 43845431 49551838 60170089 72216004 87690862 99103676 106481761 120340178 126378007 175381724 212963522 240680356 252756014 306918017 421190623 425927044 505512028 613836034 745372327 842381246 884646049 1227672068 1490744654 1684762492 1769292098 2148426119 2981489308 3538584196 4296852238 5217606289 8593704476 10435212578 15038982833 20870425156 30077965666 36523244023 60155931332 73046488046 146092976092 255662708161 511325416322 1022650832644