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201977541948 = 2237213109242413
BaseRepresentation
bin1011110000011011001…
…1001011010100111100
3201022100011101020001210
42330012303023110330
511302122222320243
6232442011404420
720410122531300
oct2740663132474
9638304336053
10201977541948
1178727069796
1233189a53710
131607ac32340
149ac09b1d00
1553c1d9c933
hex2f06ccb53c

201977541948 has 144 divisors (see below), whose sum is σ = 595814825760. Its totient is φ = 52779879936.

The previous prime is 201977541863. The next prime is 201977541973. The reversal of 201977541948 is 849145779102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711990 + ... + 954402.

Almost surely, 2201977541948 is an apocalyptic number.

201977541948 is a gapful number since it is divisible by the number (28) 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 201977541948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297907412880).

201977541948 is an abundant number, since it is smaller than the sum of its proper divisors (393837283812).

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

201977541948 is a wasteful number, since it uses less digits than its factorization.

201977541948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242556 (or 242547 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 201977541948 in words is "two hundred one billion, nine hundred seventy-seven million, five hundred forty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 109 147 156 182 196 218 273 294 327 364 436 546 588 637 654 763 1092 1274 1308 1417 1526 1911 2289 2548 2834 3052 3822 4251 4578 5341 5668 7644 8502 9156 9919 10682 16023 17004 19838 21364 29757 32046 39676 59514 64092 69433 119028 138866 208299 242413 277732 416598 484826 727239 833196 969652 1454478 1696891 2908956 3151369 3393782 5090673 6302738 6787564 9454107 10181346 11878237 12605476 18908214 20362692 22059583 23756474 26423017 35634711 37816428 44119166 47512948 52846034 66178749 71269422 79269051 88238332 105692068 132357498 142538844 154417081 158538102 184961119 264714996 308834162 317076204 343499221 369922238 463251243 554883357 617668324 686998442 739844476 926502486 1030497663 1109766714 1294727833 1373996884 1853004972 2060995326 2219533428 2404494547 2589455666 3884183499 4121990652 4808989094 5178911332 7213483641 7768366998 9617978188 14426967282 15536733996 16831461829 28853934564 33662923658 50494385487 67325847316 100988770974 201977541948