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2021188604952 = 23311137187929741
BaseRepresentation
bin11101011010011000001…
…110101001010000011000
321011020001002221111200110
4131122120032221100120
5231103343240324302
64144304330204320
7266011636450356
oct35323016512030
97136032844613
102021188604952
1170a1aa303350
12287877b836a0
1311879c27393a
146db7c97a7d6
1537898282b6c
hex1d6983a9418

2021188604952 has 128 divisors (see below), whose sum is σ = 5555710425600. Its totient is φ = 607666713600.

The previous prime is 2021188604947. The next prime is 2021188604983. The reversal of 2021188604952 is 2594068811202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67944802 + ... + 67974542.

It is an arithmetic number, because the mean of its divisors is an integer number (43403987700).

Almost surely, 22021188604952 is an apocalyptic number.

2021188604952 is a gapful number since it is divisible by the number (22) 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 2021188604952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777855212800).

2021188604952 is an abundant number, since it is smaller than the sum of its proper divisors (3534521820648).

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

2021188604952 is a wasteful number, since it uses less digits than its factorization.

2021188604952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31777 (or 31773 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 2021188604952 in words is "two trillion, twenty-one billion, one hundred eighty-eight million, six hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 264 274 411 548 822 1096 1507 1644 1879 3014 3288 3758 4521 5637 6028 7516 9042 11274 12056 15032 18084 20669 22548 29741 36168 41338 45096 59482 62007 82676 89223 118964 124014 165352 178446 237928 248028 257423 327151 356892 496056 514846 654302 713784 772269 981453 1029692 1308604 1544538 1962906 2059384 2617208 2831653 3089076 3925812 4074517 5663306 6178152 7851624 8149034 8494959 11326612 12223551 16298068 16989918 22653224 24447102 32596136 33979836 44819687 48894204 55883339 67959672 89639374 97788408 111766678 134459061 167650017 179278748 223533356 268918122 335300034 358557496 447066712 537836244 614716729 670600068 1075672488 1229433458 1341200136 1844150187 2458866916 3688300374 4917733832 7376600748 7656017443 14753201496 15312034886 22968052329 30624069772 45936104658 61248139544 84216191873 91872209316 168432383746 183744418632 252648575619 336864767492 505297151238 673729534984 1010594302476 2021188604952