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67790191872 = 2831353128111
BaseRepresentation
bin111111001000100111…
…000011110100000000
320110222102012120000010
4333020213003310000
52102313242114442
651050431024520
74616622060234
oct771047036400
9213872176003
1067790191872
1126827883567
121117a96b140
136514690890
1433d13445c4
151b6b607b9c
hexfc89c3d00

67790191872 has 144 divisors (see below), whose sum is σ = 197966861568. Its totient is φ = 20464803840.

The previous prime is 67790191849. The next prime is 67790191879. The reversal of 67790191872 is 27819109776.

It is a super-2 number, since 2×677901918722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67790191879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465097 + ... + 593207.

It is an arithmetic number, because the mean of its divisors is an integer number (1374769872).

Almost surely, 267790191872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67790191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98983430784).

67790191872 is an abundant number, since it is smaller than the sum of its proper divisors (130176669696).

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

67790191872 is a wasteful number, since it uses less digits than its factorization.

67790191872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128196 (or 128182 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 57.

The spelling of 67790191872 in words is "sixty-seven billion, seven hundred ninety million, one hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 256 312 318 384 416 424 624 636 689 768 832 848 1248 1272 1378 1664 1696 2067 2496 2544 2756 3328 3392 4134 4992 5088 5512 6784 8268 9984 10176 11024 13568 16536 20352 22048 33072 40704 44096 66144 88192 128111 132288 176384 256222 264576 384333 512444 529152 768666 1024888 1537332 1665443 2049776 3074664 3330886 4099552 4996329 6149328 6661772 6789883 8199104 9992658 12298656 13323544 13579766 16398208 19985316 20369649 24597312 26647088 27159532 32796416 39970632 40739298 49194624 53294176 54319064 79941264 81478596 88268479 98389248 106588352 108638128 159882528 162957192 176536958 213176704 217276256 264805437 319765056 325914384 353073916 426353408 434552512 529610874 639530112 651828768 706147832 869105024 1059221748 1279060224 1303657536 1412295664 1738210048 2118443496 2607315072 2824591328 4236886992 5214630144 5649182656 8473773984 11298365312 16947547968 22596730624 33895095936 67790191872