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212038979152 = 247111396713691
BaseRepresentation
bin1100010101111010000…
…0100000111001010000
3202021022100202012012011
43011132200200321100
511433223434313102
6241224231112304
721214344404410
oct3053640407120
9667270665164
10212038979152
1181a1a526450
1235117512694
1316cc2580990
14a396d68640
1557b03442d7
hex315e820e50

212038979152 has 160 divisors (see below), whose sum is σ = 552208656384. Its totient is φ = 76173350400.

The previous prime is 212038979137. The next prime is 212038979167. The reversal of 212038979152 is 251979830212.

It is an interprime number because it is at equal distance from previous prime (212038979137) and next prime (212038979167).

It is a junction number, because it is equal to n+sod(n) for n = 212038979096 and 212038979105.

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, 15480627 + ... + 15494317.

Almost surely, 2212038979152 is an apocalyptic number.

212038979152 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 212038979152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276104328192).

212038979152 is an abundant number, since it is smaller than the sum of its proper divisors (340169677232).

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

212038979152 is a wasteful number, since it uses less digits than its factorization.

212038979152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 212038979152 in words is "two hundred twelve billion, thirty-eight million, nine hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 967 1001 1144 1232 1456 1934 2002 2288 3868 4004 6769 7736 8008 10637 12571 13538 13691 15472 16016 21274 25142 27076 27382 42548 50284 54152 54764 74459 85096 87997 95837 100568 108304 109528 138281 148918 150601 170192 175994 177983 191674 201136 219056 276562 297836 301202 351988 355966 383348 553124 595672 602404 703976 711932 766696 967967 1054207 1106248 1191344 1204808 1245881 1407952 1423864 1533392 1935934 1957813 2108414 2212496 2409616 2491762 2847728 3871868 3915626 4216828 4983524 7743736 7831252 8433656 9967048 13239197 13704691 15487472 15662504 16867312 19934096 26478394 27409382 31325008 52956788 54818764 92674379 105913576 109637528 145631167 172109561 185348758 211827152 219275056 291262334 344219122 370697516 582524668 688438244 741395032 1019418169 1165049336 1204766927 1376876488 1482790064 1893205171 2038836338 2330098672 2409533854 2753752976 3786410342 4077672676 4819067708 7572820684 8155345352 9638135416 13252436197 15145641368 16310690704 19276270832 26504872394 30291282736 53009744788 106019489576 212038979152